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14 \@addtoreset{equation}{section} |
14 \@addtoreset{equation}{section} |
15 \gdef\theequation{\thesection.\arabic{equation}} |
15 \gdef\theequation{\thesection.\arabic{equation}} |
16 \makeatother |
16 \makeatother |
17 |
17 |
18 \maketitle |
18 \maketitle |
19 |
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20 %[revision $\ge$ 527; $\ge$ 30 August 2010] |
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21 % |
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22 %{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} |
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23 %We're in the midst of revising this, and hope to have a version on the arXiv soon. |
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24 |
19 |
25 \begin{abstract} |
20 \begin{abstract} |
26 Given an $n$-manifold $M$ and an $n$-category $\cC$, we define a chain complex |
21 Given an $n$-manifold $M$ and an $n$-category $\cC$, we define a chain complex |
27 (the ``blob complex") $\bc_*(M; \cC)$. |
22 (the ``blob complex") $\bc_*(M; \cC)$. |
28 The blob complex can be thought of as a derived category analogue of the Hilbert space of a TQFT, |
23 The blob complex can be thought of as a derived category analogue of the Hilbert space of a TQFT, |
44 colorlinks, linkcolor={dark-red}, |
39 colorlinks, linkcolor={dark-red}, |
45 citecolor={dark-blue}, urlcolor={medium-blue} |
40 citecolor={dark-blue}, urlcolor={medium-blue} |
46 } |
41 } |
47 |
42 |
48 |
43 |
49 %\let\stdsection\section |
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50 %\renewcommand\section{\newpage\stdsection} |
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51 |
44 |
52 \input{text/intro} |
45 \input{text/intro} |
53 |
46 |
54 \input{text/tqftreview} |
47 \input{text/tqftreview} |
55 |
48 |
71 |
64 |
72 \input{text/appendixes/moam} |
65 \input{text/appendixes/moam} |
73 |
66 |
74 \input{text/appendixes/famodiff} |
67 \input{text/appendixes/famodiff} |
75 |
68 |
76 %\input{text/appendixes/smallblobs} |
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77 |
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78 \input{text/appendixes/comparing_defs} |
69 \input{text/appendixes/comparing_defs} |
79 |
70 |
80 %\input{text/comm_alg} |
71 %\input{text/comm_alg} |
81 |
72 |
82 % ---------------------------------------------------------------- |
73 % ---------------------------------------------------------------- |