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\title{The Blob Complex}
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[revision $\ge$ 481; $\ge$ 26 July 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.
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\paragraph{To do list}
\begin{itemize}
\item[6] (K) proofs need finishing, then (S) needs to confirm details and try
to make more understandable
\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?
\item[7.6] is new! (S) read
\item[8] improve the beginning, finish proof for products,
check the argument about maps
\item[9] (K) proofs trail off
\item Make clear exactly what counts as a ``blob diagram", and search for
``blob diagram"
\item Say something about stabilizing an $n$-category (centre), taking the top $k$ levels of a category, and the stabilization hypothesis?
\item say something about starting with semisimple n-cat (trivial?? not trivial?)
\item maybe to do: add appendix on various versions of acyclic models
\end{itemize}
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\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/smallblobs}
\input{text/appendixes/comparing_defs}
\input{text/comm_alg}
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This paper is available online at \arxiv{?????}, and at
\url{http://tqft.net/blobs},
and at \url{http://canyon23.net/math/}.
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\end{document}
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