blob1.tex
author Scott Morrison <scott@tqft.net>
Mon, 12 Jul 2010 10:17:52 -0600
changeset 428 30d04f3e5d03
parent 418 a96f3d2ef852
child 429 63ddcff52748
permissions -rw-r--r--
removing some todo items

\documentclass[11pt,leqno]{article}

\newcommand{\pathtotrunk}{./}
\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

[revision $\ge$ 418;  $\ge$ 5 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.

\noop{

\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}

}  % end \noop



\tableofcontents

\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/famodiff}

\input{text/appendixes/smallblobs}

\input{text/appendixes/comparing_defs}

\input{text/comm_alg}

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\bibliographystyle{plain}
\bibliography{bibliography/bibliography}
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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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