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17 \maketitle |
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19 [revision $\ge$ 527; $\ge$ 30 August 2010] |
19 %[revision $\ge$ 527; $\ge$ 30 August 2010] |
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20 % |
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21 %{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} |
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22 %We're in the midst of revising this, and hope to have a version on the arXiv soon. |
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21 {\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} |
24 \begin{abstract} |
22 We're in the midst of revising this, and hope to have a version on the arXiv soon. |
25 Given an $n$-manifold $M$ and an $n$-category $\cC$, we define a chain complex |
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26 (the ``blob complex") $\bc_*(M; \cC)$. |
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27 The blob complex can be thought of as a derived category version of the Hilbert space of a TQFT, |
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28 or as a generalization of Hochschild homology to $n$-categories and $n$-manifolds. |
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29 It enjoys a number of nice formal properties, including a higher dimensional |
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30 generalization of Deligne's conjecture about the action of the little disks operad on Hochschild cochains. |
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31 Along the way, we give a definition of a weak $n$-category with strong duality which |
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32 is particularly well suited for work with TQFTs. |
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33 \end{abstract} |
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25 \tableofcontents |
36 \tableofcontents |
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27 %\let\stdsection\section |
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