# HG changeset patch # User Kevin Walker # Date 1304730126 25200 # Node ID d8151afc725e2570f8ce8cd4c9fb0befa562f909 # Parent f7265c20425baff0c964a99f2a06813f4cad10c1 adding to-do list diff -r f7265c20425b -r d8151afc725e blob to-do --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/blob to-do Fri May 06 18:02:06 2011 -0700 @@ -0,0 +1,68 @@ + +* We need to be clearer about which types of homeomorphisms the +"localization" theorem in the appendix works for, in the body of the +paper. Options here include: +a) having a better theorem in a separate paper, so we don't actually +need to worry +[** currently working on this option] +b) changing the statements in the paper, for example writing PL-Homeo +everywhere instead of Homeo +c) explicitly saying "Homeo means PL-Homeo" everywhere +c') if we succumb to Peter's suggestion of say "Iso" everywhere, +perhaps we could adopt the notation that "Iso^*" or similar means one +of a restricted set of categories, where the appendix works, and using +this notation in section 5. + +* Consider moving A_\infty stuff to a subsection + +* dimension n+1, explain the statement and refer to KW's notes + +* framings and duality -- work out what's going on! + +* consider proving the gluing formula for higher codimension manifolds with +morita equivalence + + +* Peter's suggestion for A_inf definition + +* enriching in other \infty categories, explaining how "D" should +interact with coproducts in "S" (break out A_\infty stuff into a +subsection) + + +* SCOTT will go through appendix C.2 and make it better + +* In the appendix on n=1, explain more about orientations. Also say +what happens on objects for spin manifolds: the unique point has an +automorphism, which translates into a involution on objects. Mention +super-stuff. + +* make remarks about defect interpretation of sphere modules + + +colimit subsection: + +* Labeling of the k-1 skeleton agreeing on the k-2 skeleton is awfully vague. + +* Category of permissible decompositions must be a small category in order to take the colimit. + +* Boundary of \cl; not so easy to see! + + +modules: + +* Marked hemispheres, need better language. + +* Lemma 6.4.5 needs to actually construct this map! Needs more input! Do +we actually need this as written? + + + +* add remark about relation of SC operad to Ryan Budney thing + +* SCOTT: typo in delfig3a -- upper g should be g^{-1} + +* finalize acknowledge list + +* fix "cell decomposition" (\nn remark) in string-diagram-fields def +