14 \gdef\theequation{\thesection.\arabic{equation}} |
14 \gdef\theequation{\thesection.\arabic{equation}} |
15 \makeatother |
15 \makeatother |
16 |
16 |
17 \maketitle |
17 \maketitle |
18 |
18 |
19 [revision $\ge$ 414; $\ge$ 3 July 2010] |
19 [revision $\ge$ 417; $\ge$ 4 July 2010] |
20 |
20 |
21 {\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} |
21 {\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} |
22 We're in the midst of revising this, and hope to have a version on the arXiv soon. |
22 We're in the midst of revising this, and hope to have a version on the arXiv soon. |
23 |
23 |
24 \noop{ |
24 \noop{ |
25 |
25 |
26 \paragraph{To do list} |
26 \paragraph{To do list} |
27 \begin{itemize} |
27 \begin{itemize} |
28 \item[1] (K) tweak intro |
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29 \item[2] (S) needs explanation that this will be superseded by the n-cat |
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30 definitions in \S 7. |
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31 \item[2] (S) incorporate improvements from later |
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32 \item[2.3] (S) foreshadow generalising; quotient to resolution |
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33 \item[3] (K) look over blob homology section again |
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34 \item[4] (S) basic properties, not much to do |
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35 \item[5] (K) finish the lemmas in the Hochschild section |
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36 \item[6] (K) proofs need finishing, then (S) needs to confirm details and try |
28 \item[6] (K) proofs need finishing, then (S) needs to confirm details and try |
37 to make more understandable |
29 to make more understandable |
38 \item[7] (S) do some work here -- identity morphisms are still imperfect. Say something about the cobordism and stabilization hypotheses \cite{MR1355899} in this setting? Say something about $E_n$ algebras? |
30 \item[7] (S) do some work here -- identity morphisms are still imperfect. Say something about the cobordism and stabilization hypotheses \cite{MR1355899} in this setting? |
39 \item[7.6] is new! (S) read |
31 \item[7.6] is new! (S) read |
40 \item[8] improve the beginning, finish proof for products, |
32 \item[8] improve the beginning, finish proof for products, |
41 check the argument about maps |
33 check the argument about maps |
42 \item[9] (K) proofs trail off |
34 \item[9] (K) proofs trail off |
43 \item[10] (S) read what's already here |
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44 \item[A] may need to weaken statement to get boundaries working (K) finish |
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45 \item[B] (S) look at this, decide what to keep |
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46 |
35 |
47 \item Work in the references Chris Douglas gave us on the classification of local field theories, \cite{BDH-seminar,DSP-seminar,schommer-pries-thesis,0905.0465}. |
36 \item Work in the references Chris Douglas gave us on the classification of local field theories, \cite{BDH-seminar,DSP-seminar,schommer-pries-thesis,0905.0465}. |
48 \nn{KW: Do we need to do this? We don't really classify field theories. |
37 \nn{KW: Do we need to do this? We don't really classify field theories. |
49 I suppose our work could be interpreted as a alternative proof of cobordism hypothesis, but we |
38 I suppose our work could be interpreted as a alternative proof of cobordism hypothesis, but we |
50 don't emphasize that at the moment. |
39 don't emphasize that at the moment. |