# HG changeset patch # User Scott Morrison # Date 1274994892 25200 # Node ID a971a8ab9fac06b113702fcf94ad6cf227a0507d # Parent cb16992373be2b9bcf240d4e57c866ee28f8b603 spelling diff -r cb16992373be -r a971a8ab9fac text/intro.tex --- a/text/intro.tex Thu May 27 14:04:06 2010 -0700 +++ b/text/intro.tex Thu May 27 14:14:52 2010 -0700 @@ -8,7 +8,7 @@ \item When $n=1$ and $\cC$ is just a 1-category (e.g.\ an associative algebra), the blob complex $\bc_*(S^1; \cC)$ is quasi-isomorphic to the Hochschild complex $\HC_*(\cC)$. (See Property \ref{property:hochschild} and \S \ref{sec:hochschild}.) \item When $\cC$ is the polynomial algebra $k[t]$, thought of as an n-category (see \S \ref{sec:comm_alg}), we have that $\bc_*(M; k[t])$ is homotopy equivalent to $C_*(\Sigma^\infty(M), k)$, the singular chains -on the configurations space of unlabeled points in $M$. +on the configuration space of unlabeled points in $M$. %$$H_*(\bc_*(M; k[t])) = H^{\text{sing}}_*(\Delta^\infty(M), k).$$ \end{itemize} The blob complex definition is motivated by the desire for a derived analogue of the usual TQFT Hilbert space (replacing quotient of fields by local relations with some sort of resolution),