author | Scott Morrison <scott@tqft.net> |
Wed, 28 Jul 2010 13:39:52 -0700 | |
changeset 498 | b98790f0282e |
parent 496 | 01b044f87bb0 |
child 511 | cd08d1b9d274 |
permissions | -rw-r--r-- |
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\documentclass[11pt,leqno]{article} |
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\newcommand{\pathtotrunk}{./} |
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\input{text/article_preamble} |
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\input{text/top_matter} |
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\input{text/kw_macros} |
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\title{The Blob Complex} |
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\begin{document} |
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[revision $\ge$ 481; $\ge$ 26 July 2010] |
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{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}} |
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We're in the midst of revising this, and hope to have a version on the arXiv soon. |
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\noop{ |
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\paragraph{To do list} |
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\begin{itemize} |
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\item[6] (K) proofs need finishing, then (S) needs to confirm details and try |
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to make more understandable |
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\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? |
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\item[7.6] is new! (S) read |
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\item[8] improve the beginning, finish proof for products, |
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check the argument about maps |
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\item[9] (K) proofs trail off |
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\item Make clear exactly what counts as a ``blob diagram", and search for |
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``blob diagram" |
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\item Say something about stabilizing an $n$-category (centre), taking the top $k$ levels of a category, and the stabilization hypothesis? |
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\item say something about starting with semisimple n-cat (trivial?? not trivial?) |
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\item maybe to do: add appendix on various versions of acyclic models |
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\end{itemize} |
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} % end \noop |
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\tableofcontents |
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\let\stdsection\section |
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\renewcommand\section{\newpage\stdsection} |
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\input{text/intro} |
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\input{text/tqftreview} |
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\input{text/blobdef} |
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\input{text/basic_properties} |
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\input{text/hochschild} |
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\input{text/evmap} |
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\input{text/ncat} |
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\input{text/a_inf_blob} |
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\input{text/deligne} |
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\appendix |
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\input{text/appendixes/moam} |
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\input{text/appendixes/famodiff} |
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\input{text/appendixes/smallblobs} |
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\input{text/appendixes/comparing_defs} |
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\input{text/comm_alg} |
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% ---------------------------------------------------------------- |
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writing definitions of topological a_\infty categories, modules, etc.
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%\newcommand{\urlprefix}{} |
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\bibliographystyle{plain} |
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\bibliography{bibliography/bibliography} |
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% ---------------------------------------------------------------- |
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This paper is available online at \arxiv{?????}, and at |
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\url{http://tqft.net/blobs}, |
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and at \url{http://canyon23.net/math/}. |
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% ---------------------------------------------------------------- |
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\end{document} |
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% ---------------------------------------------------------------- |
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