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adding some notes from talks

changes for GT

two small changes in intro requested by Peter

Adding reference to Andrade, and 'published version of' in the abstract

correction to blob_changes_v3

rearranging to hide referee report stuff

deleting hand-drawn figures

final tweaks to figures in C2

fix an overfull hbox

more \bullet -> *_h

remoed hand drawn figs; adjusted some composition symbols

removing obsolete reference to Lemma support-shrink

finished all the figures. (colors need adjusting)

redone the complicated figure in tikz

more diagrams, doing the complicated one in tikz again now that I've discovered pos (and an annoying bug in tikz)

Automated merge with https://tqft.net/hg/blob

minor, work on figures

added a homeo/pl/smooth etc note early in the intro

remove lemma 3.2.3 (support-shrink lemma); it was only used once

last case of inserting product regions

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figures

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more work on figures, in the sandbox

some more figures

minor -- done with final read-through

minor -- Section 7

minor -- mostly done with Section 6

minor -- more Section 6 edits

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very minor; committing in preparation for merging

slow progress on figures

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figures

mostly minor edits -- section 6.1

minor - section 5

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minor

just one figure

minor - Section 4

minor - Section 3.2

minor edits in section 3.1

beginning final read-through; minor changes to intro

chopping up hand-drawn figures, and getting all the figure environments and references right

done with appendic revision (except for figures)

start to revise C.3

C -> D in C.2

minor

tweaked some colors; removed hand-drawn originals

typo

preliminary tikz diagrams for all the morita equivalences

some figure todos, todone

figures todo

adding cites for pivotal categories, explaining what we mean by *-1-cats. Referee report is now completely finished.

adding last label to the 'gadgets' figure, as requested by referee

adding figures for pinched products

adding notes from Maui

removing "(partially defined)"

typo

small item from ref rpt

make claims about framed balls and non-pivotal n-cats weaker

finished updating module axioms (but have not done a proof-read)

more module axiom stuff

a little more revision of module axioms

begin to incorporate recent n-cat axiom changes into the module axioms

finished with plitting axiom stuff (except that now the module definition needs to be updated)

add remarks about the missing TOP case; searched for all occurrances of "topological" and "continuous" to make sure all other mentions of TOP have been expunged; other minor changes

added some 'disk-like's in intro; other minor changes in intro; broke some lines

changing general map thm to remark, as suggested by referee

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minor

minor typos from recent edits

in response to ref rpt, adding a completely redundant proof for fiber bundle thm; still think about general map case

a little more on operad action

operad action only up to homotopy; still need to think about this a bit

marked balls start at k=1, not k=0

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providing a preamble to Appendix A

definition-izing the blob complex for an A_infty cat, and stating assumptions more prominently in S7.2

more referee comments, mostly adding cross-references to examples, lemma-izing the fields -> ncats construction

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minor; unsaved change from a couple of days ago

minor fixes, some typos, some cross-references

Initial version of the new splitting axiom. This is much rougher than I would like, but it's better than nothing.

updated ref rpt to-do list

straighten out 1-cat vs system of fields in Section 4, per referee

minor

remove TOP; searched of "topological" and "PL" to find places where we mention TOP

small ref rpt item (I looked and there was nothing other than 5.1.5 and 7.3.1)

readding item to ref rpt to-do list (un-strikeout)

undoing the 'disk-like's

Backed out changeset 7abe7642265e

more referee report stuff, relatively minor

last remaining items from referee's typo/minor list

finishing most of the minor/typo issues from the referee

fixing theorem numbering in sections without subsections

adding arxiv versions to the repository, for easier reference

fixing typos

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very minor

minor ref rpt stuff

add referees request for comment on hh_*(loops)

finishing EB_n additions

another intermediate commit for fam-o-homeo lemma; found another flaw in proof

adding a figure suggested by the referee

being more verbose about restriction maps

intermediate commit -- not done yet

intermediate commit -- not done yet

more work on fam-o-homeo lemma

dealing with merge failure

minor intermediate commit, so that I can fetch

referee remark no longer necessary because of a rewritten section

adding some forward references about extended TQFTs, per referee

minor typo

relentless adding 'disk-like' everywhere it could possibly go

adding more labels to the 'overview' diagram, per referee

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minor: fixing common refinement example

unfinished edits to fam-o-homeo lemma and EB_n algebra example

add Kirby and referee to acknowledgements

tweaks per referee

typos, not from referee rpt

remove bar per referee (minor)

pdf

more typos from ref rpt

typos from ref rpt

several minor corrections, from referee

switching CH back to C_*(Homeo(...))

adding RefereeReport.pdf

very minor

no splittability requirement for k=n

fixing proof of 7.1.1 (product thm)

remark about families of collar maps acting; misc

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added splittability axiom for fields

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changing formula for blocks

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nonsense having to do with resloving conflicts

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typos in to-do file

changing example for no common refinement

typos

adding some TODOs

queries on topologising BD

fixing a weird numbering issue in \S 2, caused by switching to X.Y.Z numbering scheme

minor

using consistent names for field in \S 7

very minor query

Automated merge with https://tqft.net/hg/blob

acknowledgements for course looks fine

adding vertical arrow in decomposition poset figure

figure for ABCD in the sin(1/x) example

minor

fixing delfig3b

recompiling 'gadgets' diagram

minor

add remark about a-inf axiom implying isotopy invariance

minor; out of time for now

update n-cat summary lists

very minor

maybe done with colimit stuff; getting closer anyway

minor

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minor

tikz figure

adding the final PDF form PNAS

starting on a Morita figure

intertwinor -> intertwiner: http://www.googlefight.com/index.php?lang=en_GB\&word1=intertwiner\&word2=intertwinor

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typo

minor: correcting caption

morita figs

more Morita

minor

morita stuff

wrote a little (but not enough) about Morita equivalence; out of time, will finish later

adding transversality requirement to product morphism axiom

adding placeholder figure

new n-cat axiom for splittings

minor

misc; added some specifics of acknowledgements

finish fam-o-homeo axiom revisions and discussion

in the midst of revising a-inf and enriched n-cat axioms; not done yet

tweak to fam-o-homeo proof; aux enriching cats are sets with extra structure

finished topological case of Appendix B

starting proof of adaptation lemma for continuous homeos

added remark on super algebra

adding remarks on objects to C.1; this is pretty uninspired writing, so feel free to improve

more details in C.1; reorganized to-do list

axioms for enriched n-cats; but these might need to be modified since the product axiom seems to require that these are sets with structure after all

more reorganization of n-cat defs

start to rearrange n-cat defs

corrected statement of module to category restrictions; note that this affects the numbering of items in subsection 6.4

left over comment from last week

more on colimits; still not done

minor

merging by hand (?)

rewriting colimit def; there's still a little more to do

starting to work on colimit stuff, but not much progress yet

minor

add remarks to address the bizarre and inexplicable confusion about "hemisphere"

added a sentence about conditions of existence of path integrals (at PT's request); other minor stuff

updated to-do list

oops -- 3 reverts

move figs to top of page

make sure poset of decomps is a small category; added to to-do list

string diagrams have stratifications more general than mere cell complexes

minor

added remark about defect categories; tweaked sphere cat intro

minor: remove \nn from ack list; shorten lines; remove some comments

adding to-do list

updated delta file

acknowledge the existence of manifolds without ball decompositions

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delta file for next arXiv/G&T version (complete as of now, but will need to be updated)

reverting removing kw:tqft

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old change to a diagram, forgot to commit

correcting typo

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removing kw:tqft from pnas

remark about apparent vacuity of lemma 6.1.2 (spheres)

added more motivation for pinched products

more on piched product union axiom

fixed statement of compatibility of product morphisms with decompositions (might still need some work)

added to examples of unions of pinched products (fig)

added brief def of monoidal n-cats; killed some old invisible comments

add M. Shulman to acknowledgements

clarification of definition of n-SC operad

adding notes for Scott's April 19 talk

removing repeated word

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fixing minor mistake in the proof of the product formula

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typo in caption

more splittable symbols in the module section, and minor typos from April 12

if compiling with xelatex, and the fonts 'Linux Libertine' and 'Asana Math' are available, will typeset more like what PNAS is doing. quotes are messed up, though

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Automated merge with https://tqft.net/hg/blob

some daggers

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correctly definition of ball decomposition in PNAS article

fix definition of refinement of ball decomp (intermediate manifolds are disj unions of balls)

added 2nd parameter to the two bordism examples

invisible, unimportant changes

neat embedding for bordism category

Automated merge with http://tqft.net/hg/blob

slightly more detail on lack of surjectivity

two more transverse symbols

added two more transverse symbols

small fix for def of bordism category definitions; perhaps more should be done

explain why we dont require gluing to be surjective

added remark that in the case of disjoint gluing the equalizer is also a fibered product

tried to clarify the spirally nature of the axioms in the intro to the ncat section; other word-smithing in that intro; added remark about C(0-sphere)

thank hot topics course lecturers

add definition of collaring homeo, etc.

remove long nooped section on linearizing fields

adding pitchforks to denote splittability

typo

2 typos, one minor and one more serious

clarified what's small and what's not in the proof of the small blob lemma for BT_*

removing unnecessary preamble.tex

fixing rob's typo (that->than)

added remark to easy gluing prop (compatible with gluing on fields). this is in response to comment from PT that the zero map satisfies the claims of the proposition.

fix typo ('to' -> 'the') noticed my Rob

re-added a remark that was accidentally deleted earlier

typo

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clarify "splittable"; r -> l

aaron's final version

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Edits from Aaron Mazel-Gee

adding Aaron's notes, renaming

minor

minor tweaks in talk

some suggestions from kevin

axioms (unfinished) and a bit about cell decompositions

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adjusting figure and proof of gluing per kevin's suggestions

placeholder for change in def of string-diagram-fields

gluing formulas

writing about string diagrams

writing notes for Teichner's course

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missing 'than'

summary of changes for G&T (will upload via their web interface)

fixing build script to omit PNAS files for arxiv submission

trying out a semicolon list

minor changes to kevin's new paragraphs

fixing the broken references introduced during my abortive edits yesterday in sydney

ugh, trying to make some changes, but the only way I can work from here is by tunneling X windows, and it's just too painful. postponing til I'm at a real computer.

"topological n-cat" --> either "disk-like n-cat" or "ordinary n-cat" (when contrasted with A-inf n-cat)

added subsection to intro about n-cat terminology; have not yet actually changed terminology in the rest of the paper

add citation to R. Brown and U. Tillman

summary of data and properties for n-cats

mention n+1-cat of sphere modules in intro

plain n-cat -> ordinary n-cat

compatibility of first and last n-cat axioms; mention stricter variant of last axiom

remove tillmann "personal communication" bib entry per PNAS policy

reformatting bibliography for PNAS

moving everything into one directory for PNAS submission, and externalizing TikZ

merging preamble into the main file

deleting unused diagram

switching in local bibliography

preferring pivotal over 'strong duality'. may want to search for 'duality' and think about phrasing...

plain -> ordinary

adding a sentence about types of decompositions of manifolds, including a cite to kirillov. Feel free to revert.

minor changes to abstract, and blob diagrams

minor

more string diagram / field nonsense

move Lurie-comparison paragraph to n-cat section

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adding cite to tillmann

that's all for tonight

part way done with post phone call edits

more proofreading changes

minor, on enrichment

2nd installment of changes from proof-read

changes from proof-read, 1st installment

fixing single quotes and long lines

some more fixes in the colimit section

trying out 'isotopy n-category', and explaining the difference better

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minor

minor changes from proofreading

line breaks

first cut of an abstract

minor

plain ---> linear

writing a bit more about colimits. I'm not doing a good job of this

epsilon

unoriented <=> oriented

minor changes in introduction

citing rozansky for s2 x s1: is there actually a paper by khovanov about this?

short version of cat sect intro; longer intro desirable?

done with intro for now

trying to resolve

maybe if I commit now merging will be easier?

very paltry start on colimits, out of time for now

minor changes to rewritten intro

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changing title?

more intro

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silly commit to move stuff from office to home

adding reference to Ronnie Brown's paper, from MO

adding Gerstenhaber-Voronov, explicitly not proving the mapping spaces result, and slight tweaks

finish deligne section; misc

more on deligne

starting on Deligne section

misc

proof of product thm

minor tweaks in sketch proofs

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adding some proof sketches

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minor

minor

hopefully preamble commands should all be okay again

various minor, and moving mapping spaces to 'specializations'

oops, unbreaking stuff

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bordism example

futzing with preambles

misc

proof for CH_* action

minor, during call

minor, during call

minor

intro to more concrete \bc_* definition and misc

definition of collar maps

changing title

writing intro; just an expanded version of the existing notes, feel free to savage

minor changes to cone-product polyhedra discussion

Examples and misc.; quality of writing perhaps not so great.

various

writing inconclusively about homotopy colimits, but have to run

fixing typo

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making pinched products axioms terser, and writing a short proof of the higher deligne conjecture

adding some figures for the axioms

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fixing labels on mapping-cylinders.pdf (R_1 and R_2 reversed)

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merging changes

a few changes, maybe bad ones...

fixing a type

enrichment; decompositions (meta)

restore and complete the fragment

various, mostly working on axioms

minor

misc

minor

some n-cat motivation

k-blobs for small k, and blob cochains

minor

minor

out of battery. writing a little about the deligne conjecture

oops, missing paren in deligne.tex

writing on the plane to kyoto: the blob complex as homotopy colimit and explicitly (but not why these are the same), and copy and paste of statements of axioms

minor edits and cleanup

starting on cell decompositions

incorporating statements of results in PNAS article

compilable PNAS file\! The blob intro typesets (poorly) onto 3 2-column pages

minor changes to preambles

hg-ignoring pnas.pdf et al.

removing the (unused) \pr command, because PNAS didn't like it

renaming variables to avoid PNAS conflicts

PNAS style files, and template

restoring arxiv number

arxiv number

fixing external graphic

adding arxiv number at the end of the paper

last minute changes from friday, to submit to the arxiv

friday afternoon

assoc of n+1

added abstract; other misc minor stuff

resolving two more nns

fat graph -> surgery cylinder

making "no functors" excuses; other minor stuff

minor

killing commutative alg appendix

misc

remaining changes from tuesday afternoon

deleting nn's

minor

addressing some of Scott's comments on CH_* action proof

minor: futzing with font size in 2 figs

new def of mophisms between modules

replacing "sort-of-simplicial" -> "cone-product", although I was rather fond of "sort-of-simplicial"; this isn't kvetching about your comment -- I was already planning on axing "sort-of-simplicial"

breaking lines, and one other minor comment

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preparing for new def of morphisms of a-ing 1-cat modules

hopefully getting signs right in Lemma 6.3

fixing some subscripts associated to homotopies

various changes to \S 6.1

minor

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minor

numbering axioms and module axioms as 7.x

fixing label on deligne figure

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fixing deligne figure

proof of injectivity/colimit lemma

futzing with figures (\begin{center|equation} to \centering)

minor

minor; resolving a few \nns

finished 2nd pass on evmap

revisions of evmap; misc

starting to finish fiber bundle stuff

finished 1st draft of new evmap section; commented out older versions

more on evmap

misc

local contractibility for SOSS blob complex

minor

first draft of new sm blobs; needs to be proof-read and revised

supress warnings about PDF 1.5

more small blob stuff

making latest available to office computer

more on small blobs

starting yet again on evmap

intro to evmap

fixing some (but not all!?) of the hyperref warnings; start on revision of evmap

no more new pages for sections

more figures

another fig

adding tikz fig

change appearance of hyperrefs

misc

sphere module n+1 mor stuff

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straight lines in figure 42

misc comm_alg edits

minor

temporarily done with MOAM

start on MOAM appendix

diagram for producing weak identities

YxI sliced open diagram

TOC doesn't need its own new page

removing illustrator cruft from diagrams

many small fixes in ncat.tex

starting sections on new pages? not sure...

put in a stub appendix for MoAM, but I'm going to go do other things next

minor

changing all the \cC's to \cF's in blobdef

trying to talk about restrictions to twig blobs precisely, but the currently text is clunky

z sin -> z^2 sin (make it C^1 at least)

some improvements to blobdef, including the z sin(1/z) example

shortening title of basic properties

tweaks to intro: adding traditional n-categories to the diagram of gadgets, rearranging mention of exactness

done with intro for now

oops, sort of

more revisions of intro

starting to revise intro

a-inf comparison tweaks

some modifications to blobdef

hochschild.tex -- minor clean-up

radically shorter a-inf appendix

dual module (non-)definition; other minor stuff

redefine "permissible decomp", and other changes to ntcat.tex; should be read carefully to make sure I didn't introduce inconsistencies

blobdef.tex

resolving conflict

prelim blobdef.tex; committing now in anticipation Scott's further edits

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start on comm alg appendix

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minor leftover

minor adjustments to blobdef

fixed up much of blobdef, some examples and todos to deal with still. feel free to dismantle and reorganise\!

starting in on ball decompositions, very formal looking at the moment without much help to the reader.

fiddling inconclusively with 'decomposition into balls'

oops

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changing simplex terminology for hocolimit (no more "degree")

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updating timestamp, to test emails

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comparing_defs.tex 2-cat section

filtration -> simplex, and another diagram

committing partial defn for 'ball decomposition', so I can change computer

removing superscripts from \bc

weaking thm:CH for iterated homotopy

minor fixes in smallblobs

starting on comparing_defs.tex

oops

done with deligne.tex (for now)

done with a-inf section for now

more a-inf section

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starting on a_inf_blob.tex; just realized I forgot to fetch scott's recent changes

upending the tent

tikzing two diagrams

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spelling

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mostly (entirely?) ncat revisions

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revisions to \S 1-5

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ncat - minor

minor evmap stuff

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minor

small changes to evmap.tex

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removing some todo items

bump version and date

search & replace: s/((sub?)section|appendix)\s+\\ref/\S\ref/

ncat misc

ncat.tex mostly module stuff

ncat: module def

more ncat (colimits)

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minor

a few more ncat revisions

revisions of n-cat examples

making quotation marks consistently "American style"

more ncat section

starting to revise ncat section

bump version

misc

done with tqftreview.tex for now

starting to work on tqdftreview.tex

minor

mostly hochschild stuff

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minor -- only committing so that I can fetch

minor

fixing problem in build script

looking at the Hochschild section

a bunch of minor changes

Making notation in the product theorem more consistent.

Breaking up 'properties' in the intro into smaller subsections, converting many properties back to theorems, and numbering according to where they occur in the text. Not completely done, e.g. the action map which needs statements made consistent.

minor

edits to sphere-modules stuff: some todos added

starting to fix the 'large coupons' problem in smallblobs

cross-references for the small blobs lemma

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final version of talk

figures for n+1-cat

finished def of sphere module n+1-cat

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define compatible familty of non-degenerate IPs

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tweaks to talk

sphere modules (in progress)

misc

refinement of ev map statement needed for small blobs

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another tikz experiment

experiment with tikz colors

updating talk, more about n-categories

some updates for a longer talk

moving files around for a talk in Stony Brook

removing already prepared figure photo

last deligne figure

finished rearranging diagrams directory

removing superfluous stuff from the diagrams directory

another deligne figure done

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oops, deleted wrong diagram, fixed again

beginning to update deligne diagrams

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aborted attempt at remark for small blobs lemma

tikzing feb21 diagrams

tikzing left-marked-antirefinements

moving an already prepared diagram out of tempkw

converting some hand drawn pictures to tikz

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Automated merge with https://tqft.net/hg/blob/

moving old diagrams around

interim version to put on web page

metric independence for homeo action (proof done now)

CH_* action -- gluing compatibility

associativity for CH_* action

remark about EB_n-algebras from n-cats

proof of mapping space thm

should read it over at least once before committing

placeholder for proof of Deligne thing

added pinched product figs

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build

minor

A-inf bordism cat example

finished E_n example (at SFO)

EB_n operad example; other misc stuff

breaking long lines

finished product axiom

start on product axiom

breaking long lines

minor

breaking long lines (probably a waste of time, but I couldn't resist)

starting to revise the ancient TQFTs-from-fields section; other minor stuff

updating notation in intro, also deciding that not everything is a 'property'

finally understanding what Lurie says, fixed remark about maps to a space

replacing axioms with lemmas in the module section; still out of sync with the ncat axioms

mostly finished inserting \cl

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updating notation in ncat

fixing some inconsistencies in where the easy basic properties are treated

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module morphism stuff

various changes, mostly rewriting intros to sections for exposition

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minor

fixing accidental reversions in blob1.tex

misc minor changes

rewrite proof from gluing thm

added \cl ([ho]colim) (currently \underrightarrow)

more futzing with product thm

some changes to blobdef, in particular indexing starts at 1 now

Finished dealing with main issues in product thm proof; small issues still remain

editting all over the place

reverting label change

finished smallblobs, except for the issue about coupons, and moved it all to an appendix

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start on general fiber bundle extension of product thm

various small changes

minor

misc. minor stuff

mention some other flavors of balls

converting sphere axiom to a proposition; still need to make similar changes in module axioms

start E_n example; other minor changes

send scott back to primary school, where he can learn to count mod 2 and reindex summations

diagram for introduction

outline two approaches for non-trivial bundles

goodnight smallblobs

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minor changes in a few places

struggling, definitely struggling, nailing down the small blobs chain map actually being a chain map

adding some figures to Deligne section

Deligne: defs and statement maybe done

merge/resolve frustrations

more Deligne

fixing labels in deligne diagram

more smallblobs

more Deligne

I hate signs in differentials

removed the cruft from smallblobs, hopefully just a chain map calculation to do now

adding some biblio entries re: Deligne. Run svn up bibliography to update the bibliography, which is still in SVN

stuff

working on smallblobs.tex. messed up some oof the module stuff, will fix again momentarily

adding more detail to def of n-dim fat graph operad

more deligne.tex

Automated merge with https://tqft.net/hg/blob/

mostly minor changes, reading modules section, stopping for dinner\!

small/few changes to famodiff

merging -- not sure what I'm doing, or why I need to 'commit' again

small preliminary changes to Deligne section

many small changes to famodiff, mostly prose

removing 'explicit' families of diffeos partial proof

spelling

\mapsfrom

famodiff.tex maybe finished

fix dumb error

more famodiff.tex

finshed proof of main lemma in famodiff appendix

more famodiff.tex

more famodiff.tex

more famodiff.tex

begin to revise families of maps appendix

minor - acknowledgements

more words per page (margins)

fix an example

minor

minor changes, fixes to some diagrams

Automated merge with https://tqft.net/hg/blob/

switching from amsplain to article

minor edits at the beginning of ncat

done for the moment with module morphism stuff

finished def of module morphisms; still need to define (yet another) 'evaluation' map

blah blah

more module morphism stuff

starting write up module morphism def

hochschild stuff