diff -r 4a988e00468a -r a60c035e53bd text/intro.tex --- a/text/intro.tex Wed Aug 25 22:58:41 2010 -0700 +++ b/text/intro.tex Thu Aug 26 13:20:13 2010 -0700 @@ -35,14 +35,20 @@ We expect applications of the blob complex to contact topology and Khovanov homology but do not address these in this paper. -See \S \ref{sec:future} for slightly more detail. +%See \S \ref{sec:future} for slightly more detail. + +Throughout, we have resisted the temptation to work in the greatest possible generality. +(Don't worry, it wasn't that hard.) +In most of the places where we say ``set" or ``vector space", any symmetric monoidal category +with sufficient limits and colimits would do. +We could also replace many of our chain complexes with topological spaces (or indeed, work at the generality of model categories). \subsection{Structure of the paper} The subsections of the introduction explain our motivations in defining the blob complex (see \S \ref{sec:motivations}), -summarize the formal properties of the blob complex (see \S \ref{sec:properties}), describe known specializations (see \S \ref{sec:specializations}), outline the major results of the paper (see \S \ref{sec:structure} and \S \ref{sec:applications}) -and outline anticipated future directions (see \S \ref{sec:future}). -\nn{recheck this list after done editing intro} +summarize the formal properties of the blob complex (see \S \ref{sec:properties}), describe known specializations (see \S \ref{sec:specializations}), and outline the major results of the paper (see \S \ref{sec:structure} and \S \ref{sec:applications}). +%and outline anticipated future directions (see \S \ref{sec:future}). +%\nn{recheck this list after done editing intro} The first part of the paper (sections \S \ref{sec:fields}---\S \ref{sec:evaluation}) gives the definition of the blob complex, and establishes some of its properties. @@ -455,7 +461,7 @@ - +\noop{ \subsection{Future directions} \label{sec:future} \nn{KW: Perhaps we should delete this subsection and salvage only the first few sentences.} @@ -482,7 +488,7 @@ but haven't investigated the details. Most importantly, however, \nn{applications!} \nn{cyclic homology, $n=2$ cases, contact, Kh} \nn{stabilization} \nn{stable categories, generalized cohomology theories} - +} %%% end \noop \subsection{Thanks and acknowledgements} % attempting to make this chronological rather than alphabetical @@ -499,5 +505,7 @@ and Alexander Kirillov for many interesting and useful conversations. -During this work, Kevin Walker has been at Microsoft Station Q, and Scott Morrison has been at Microsoft Station Q and the Miller Institute for Basic Research at UC Berkeley. We'd like to thank the Aspen Center for Physics for the conducive environment provided there during the final preparation of this manuscript. +During this work, Kevin Walker has been at Microsoft Station Q, and Scott Morrison has been at Microsoft Station Q and the Miller Institute for Basic Research at UC Berkeley. We'd like to thank the Aspen Center for Physics for the pleasant and productive +% "conducive" needs an object; "conducive to blah" +environment provided there during the final preparation of this manuscript.