diff -r 5fdf1488ce20 -r c393d1202724 blob1.tex --- a/blob1.tex Thu Sep 23 12:34:16 2010 -0700 +++ b/blob1.tex Thu Sep 23 13:08:25 2010 -0700 @@ -16,10 +16,21 @@ \maketitle -[revision $\ge$ 527; $\ge$ 30 August 2010] +%[revision $\ge$ 527; $\ge$ 30 August 2010] +% +%{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} +%We're in the midst of revising this, and hope to have a version on the arXiv soon. -{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} -We're in the midst of revising this, and hope to have a version on the arXiv soon. +\begin{abstract} +Given an $n$-manifold $M$ and an $n$-category $\cC$, we define a chain complex +(the ``blob complex") $\bc_*(M; \cC)$. +The blob complex can be thought of as a derived category version of the Hilbert space of a TQFT, +or as a generalization of Hochschild homology to $n$-categories and $n$-manifolds. +It enjoys a number of nice formal properties, including a higher dimensional +generalization of Deligne's conjecture about the action of the little disks operad on Hochschild cochains. +Along the way, we give a definition of a weak $n$-category with strong duality which +is particularly well suited for work with TQFTs. +\end{abstract} \tableofcontents