blob1.tex
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\documentclass[11pt,leqno]{amsart}
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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{Blob Homology}
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\begin{document}
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\makeatletter
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\@addtoreset{equation}{section}
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\gdef\theequation{\thesection.\arabic{equation}}
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\makeatother
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\maketitle
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\textbf{Draft version, do not distribute.}
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%\versioninfo
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[later than 11 June 2009]
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\noop{
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\section*{Todo}
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\subsection*{What else?...}
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\begin{itemize}
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\item higher priority
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\begin{itemize}
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\item K\&S: learn the state of the art in A-inf categories
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(tensor products, Kadeishvili result, ...)
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\item K: so-called evaluation map stuff
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\item K: topological fields
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\item section describing intended applications
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\item say something about starting with semisimple n-cat (trivial?? not trivial?)
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\item T.O.C.
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\end{itemize}
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\item medium priority
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\begin{itemize}
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\item $n=2$ examples
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\item dimension $n+1$ (generalized Deligne conjecture?)
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\item should be clear about PL vs Diff; probably PL is better
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(or maybe not)
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\item something about higher derived coend things (derived 2-coend, e.g.)
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\item shuffle product vs gluing product (?)
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\item connection between $A_\infty$ operad and topological $A_\infty$ cat defs
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\end{itemize}
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\item lower priority
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\begin{itemize}
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\item Derive Hochschild standard results from blob point of view?
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\item Kh
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\item Mention somewhere \cite{MR1624157} ``Skein homology''; it's not directly related, but has similar motivations.
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\end{itemize}
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\end{itemize}
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} %end \noop
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\input{text/intro}
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\input{text/definitions}
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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/A-infty}
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\input{text/gluing}
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\input{text/comm_alg}
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\appendix
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\input{text/famodiff}
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\input{text/misc_appendices}
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\input{text/obsolete}
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% ----------------------------------------------------------------
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%\newcommand{\urlprefix}{}
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\bibliographystyle{plain}
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%Included for winedt:
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%input "bibliography/bibliography.bib"
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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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% A GTART necessity:
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% \Addresses
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% ----------------------------------------------------------------
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\end{document}
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% ----------------------------------------------------------------
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