author | scott@6e1638ff-ae45-0410-89bd-df963105f760 |
Mon, 26 Oct 2009 05:39:29 +0000 | |
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parent 132 | 15a34e2f3b39 |
child 135 | b15dafe85ee1 |
permissions | -rw-r--r-- |
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\documentclass[11pt,leqno]{amsart} |
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%\usepackage{amsthm} |
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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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\title{The Blob Complex} |
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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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%[19 October 2009, rev. $>$ 129] |
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\medskip |
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\noindent |
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{\bf Warning:} This draft is draftier than you might expect. |
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More specifically, |
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\begin{itemize} |
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\item Some sections are missing. |
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\item Many sections are incomplete. |
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In some cases the incompleteness is noted, in some cases not. |
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\item Some sections have been rewritten, but the older, obsolete version of |
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the section has not been deleted yet. |
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\item Some sections were written nearly two years ago, and are now outdated. |
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\item Some sections have not been proof-read. |
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\item There are not yet enough citations to similar work of other people. |
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\item Due to multiple authors and multiple, disconnected episodes of writing, |
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the various parts do not cohere as well as they should. |
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\end{itemize} |
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Despite all this, there's probably enough decipherable material |
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here to interest the motivated reader. |
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On the other hand, if you are only going to read this paper once, |
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{\bf then don't read this version,} as a more complete version will be available in a couple of months. |
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\tableofcontents |
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%\noop{ |
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\section*{Old To Do list} |
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\subsection*{What else?...} |
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\relax |
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\nn{should move this to do list elsewhere} |
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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 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 need to make up our minds about quasi-isomorphic vs hty equivalent |
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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 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/comparing_defs} |
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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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