author | scott@6e1638ff-ae45-0410-89bd-df963105f760 |
Fri, 30 Oct 2009 21:05:16 +0000 | |
changeset 153 | f58334ec3d1d |
parent 150 | 24028ee41a91 |
child 155 | 6224f29393c1 |
permissions | -rw-r--r-- |
8 | 1 |
\documentclass[11pt,leqno]{amsart} |
0 | 2 |
|
132 | 3 |
%\usepackage{amsthm} |
4 |
||
8 | 5 |
\newcommand{\pathtotrunk}{./} |
100
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
6 |
\input{text/article_preamble} |
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
7 |
\input{text/top_matter} |
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
8 |
\input{text/kw_macros} |
0 | 9 |
|
10 |
||
131 | 11 |
%\title{Blob Homology} |
12 |
\title{The Blob Complex} |
|
0 | 13 |
|
14 |
\begin{document} |
|
15 |
||
16 |
\makeatletter |
|
17 |
\@addtoreset{equation}{section} |
|
18 |
\gdef\theequation{\thesection.\arabic{equation}} |
|
19 |
\makeatother |
|
20 |
||
21 |
\maketitle |
|
22 |
||
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
23 |
\textbf{Draft version, do not distribute.} |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
24 |
|
80 | 25 |
%\versioninfo |
131 | 26 |
%[19 October 2009, rev. $>$ 129] |
116 | 27 |
|
117
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
28 |
\medskip |
116 | 29 |
|
117
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
30 |
\noindent |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
31 |
{\bf Warning:} This draft is draftier than you might expect. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
32 |
More specifically, |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
33 |
\begin{itemize} |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
34 |
\item Some sections are missing. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
35 |
\item Many sections are incomplete. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
36 |
In some cases the incompleteness is noted, in some cases not. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
37 |
\item Some sections have been rewritten, but the older, obsolete version of |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
38 |
the section has not been deleted yet. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
39 |
\item Some sections were written nearly two years ago, and are now outdated. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
40 |
\item Some sections have not been proof-read. |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
41 |
\item There are not yet enough citations to similar work of other people. |
118
b0fc3660fa89
this version will be emailed to a few select people
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
117
diff
changeset
|
42 |
\item Due to multiple authors and multiple, disconnected episodes of writing, |
b0fc3660fa89
this version will be emailed to a few select people
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
117
diff
changeset
|
43 |
the various parts do not cohere as well as they should. |
117
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
44 |
\end{itemize} |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
45 |
Despite all this, there's probably enough decipherable material |
b62214646c4f
preparing for semi-public version soon
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
116
diff
changeset
|
46 |
here to interest the motivated reader. |
118
b0fc3660fa89
this version will be emailed to a few select people
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
117
diff
changeset
|
47 |
On the other hand, if you are only going to read this paper once, |
b0fc3660fa89
this version will be emailed to a few select people
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
117
diff
changeset
|
48 |
{\bf then don't read this version,} as a more complete version will be available in a couple of months. |
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
49 |
|
150 | 50 |
%\tableofcontents |
79 | 51 |
|
131 | 52 |
%\noop{ |
53 |
||
54 |
\section*{Old To Do list} |
|
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
55 |
|
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
56 |
\subsection*{What else?...} |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
57 |
|
131 | 58 |
\relax |
59 |
||
60 |
\nn{should move this to do list elsewhere} |
|
61 |
||
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
62 |
\begin{itemize} |
45
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
63 |
\item higher priority |
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
64 |
\begin{itemize} |
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
65 |
\item K\&S: learn the state of the art in A-inf categories |
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
66 |
(tensor products, Kadeishvili result, ...) |
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
67 |
\item say something about starting with semisimple n-cat (trivial?? not trivial?) |
131 | 68 |
\item need to make up our minds about quasi-isomorphic vs hty equivalent |
45
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
69 |
\end{itemize} |
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
70 |
\item medium priority |
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
71 |
\begin{itemize} |
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
72 |
\item should be clear about PL vs Diff; probably PL is better |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
73 |
(or maybe not) |
45
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
74 |
\item connection between $A_\infty$ operad and topological $A_\infty$ cat defs |
41
ef01b18b42ea
added stuff to to do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
40
diff
changeset
|
75 |
\end{itemize} |
45
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
76 |
\item lower priority |
41
ef01b18b42ea
added stuff to to do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
40
diff
changeset
|
77 |
\begin{itemize} |
45
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
78 |
\item Kh |
67 | 79 |
\item Mention somewhere \cite{MR1624157} ``Skein homology''; it's not directly related, but has similar motivations. |
45
0047a1211c3b
revise to-do list
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
44
diff
changeset
|
80 |
\end{itemize} |
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
81 |
\end{itemize} |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
82 |
|
131 | 83 |
%} %end \noop |
21 | 84 |
|
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
85 |
|
79 | 86 |
|
100
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
87 |
\input{text/intro} |
0 | 88 |
|
100
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
89 |
\input{text/definitions} |
0 | 90 |
|
100
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
91 |
\input{text/basic_properties} |
0 | 92 |
|
15
7340ab80db25
rearranging the Hochschild section. Splitting things up into lemmas, and explaining why those lemmas are what we need.
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
13
diff
changeset
|
93 |
\input{text/hochschild} |
7
4ef2f77a4652
small to medium sized changes
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
5
diff
changeset
|
94 |
|
70 | 95 |
\input{text/evmap} |
69 | 96 |
|
100
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
97 |
\input{text/ncat} |
47
939a4a5b1d80
increased line width; start to write commutative algebra results
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
45
diff
changeset
|
98 |
|
113 | 99 |
\input{text/a_inf_blob} |
100 |
||
100
c5a43be00ed4
No new content, just rearranging (and procrastinating)
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
98
diff
changeset
|
101 |
\input{text/comm_alg} |
47
939a4a5b1d80
increased line width; start to write commutative algebra results
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
45
diff
changeset
|
102 |
|
148 | 103 |
\input{text/deligne} |
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
104 |
|
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
105 |
\appendix |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
106 |
|
135 | 107 |
\input{text/appendixes/famodiff} |
75 | 108 |
|
135 | 109 |
\input{text/appendixes/comparing_defs} |
114 | 110 |
|
135 | 111 |
\input{text/appendixes/misc_appendices} |
75 | 112 |
|
114 | 113 |
%\input{text/obsolete} |
47
939a4a5b1d80
increased line width; start to write commutative algebra results
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
45
diff
changeset
|
114 |
|
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
115 |
% ---------------------------------------------------------------- |
23
7b0a43bdd3c4
writing definitions of topological a_\infty categories, modules, etc.
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
22
diff
changeset
|
116 |
%\newcommand{\urlprefix}{} |
7b0a43bdd3c4
writing definitions of topological a_\infty categories, modules, etc.
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
22
diff
changeset
|
117 |
\bibliographystyle{plain} |
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
118 |
%Included for winedt: |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
119 |
%input "bibliography/bibliography.bib" |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
120 |
\bibliography{bibliography/bibliography} |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
121 |
% ---------------------------------------------------------------- |
7
4ef2f77a4652
small to medium sized changes
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
5
diff
changeset
|
122 |
|
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
123 |
This paper is available online at \arxiv{?????}, and at |
47
939a4a5b1d80
increased line width; start to write commutative algebra results
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
45
diff
changeset
|
124 |
\url{http://tqft.net/blobs}, |
939a4a5b1d80
increased line width; start to write commutative algebra results
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
45
diff
changeset
|
125 |
and at \url{http://canyon23.net/math/}. |
7
4ef2f77a4652
small to medium sized changes
kevin@6e1638ff-ae45-0410-89bd-df963105f760
parents:
5
diff
changeset
|
126 |
|
22
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
127 |
% A GTART necessity: |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
128 |
% \Addresses |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
129 |
% ---------------------------------------------------------------- |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
130 |
\end{document} |
ada83e7228eb
rearranging; stating all the "properties" up front
scott@6e1638ff-ae45-0410-89bd-df963105f760
parents:
21
diff
changeset
|
131 |
% ---------------------------------------------------------------- |
0 | 132 |
|
133 |