finished with plitting axiom stuff (except that now the module definition needs to be updated)
\documentclass[11pt,leqno]{article}
\newcommand{\pathtotrunk}{./}
\input{preamble}
\input{text/article_preamble}
\input{text/top_matter}
\input{text/kw_macros}
\title{The Blob Complex}
\begin{document}
\makeatletter
\@addtoreset{equation}{section}
\gdef\theequation{\thesection.\arabic{equation}}
\makeatother
\maketitle
\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 analogue of the Hilbert space of a TQFT,
and also 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}
\hypersetup{
colorlinks, linkcolor={black},
citecolor={dark-blue}, urlcolor={medium-blue}
}
\tableofcontents
\hypersetup{
colorlinks, linkcolor={dark-red},
citecolor={dark-blue}, urlcolor={medium-blue}
}
\input{text/intro}
\input{text/tqftreview}
\input{text/blobdef}
\input{text/basic_properties}
\input{text/hochschild}
\input{text/evmap}
\input{text/ncat}
\input{text/a_inf_blob}
\input{text/deligne}
\appendix
\input{text/appendixes/moam}
\input{text/appendixes/famodiff}
\input{text/appendixes/comparing_defs}
%\input{text/comm_alg}
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%\newcommand{\urlprefix}{}
\bibliographystyle{alpha}
\bibliography{bibliography/bibliography}
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This paper is available online at \arxiv{1009.5025}, and at
\url{http://tqft.net/blobs},
and at \url{http://canyon23.net/math/}.
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\end{document}
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