diff -r 73c62576ef70 -r e2bab777d7c9 text/comm_alg.tex --- a/text/comm_alg.tex Wed May 12 18:26:20 2010 -0500 +++ b/text/comm_alg.tex Thu May 13 12:07:02 2010 -0500 @@ -6,12 +6,6 @@ \nn{this should probably not be a section by itself. i'm just trying to write down the outline while it's still fresh in my mind.} -\nn{I strongly suspect that [blob complex -for $M^n$ based on comm alg $C$ thought of as an $n$-category] -is homotopy equivalent to [higher Hochschild complex for $M^n$ with coefficients in $C$]. -(Thomas Tradler's idea.) -Should prove (or at least conjecture) that here.} - \nn{also, this section needs a little updating to be compatible with the rest of the paper.} If $C$ is a commutative algebra it @@ -20,6 +14,9 @@ The goal of this \nn{subsection?} is to compute $\bc_*(M^n, C)$ for various commutative algebras $C$. +Moreover, we conjecture that the blob complex $\bc_*(M^n, $C$)$, for $C$ a commutative algebra is homotopy equivalent to the higher Hochschild complex for $M^n$ with coefficients in $C$ (see \cite{MR0339132, MR1755114, MR2383113}). This possibility was suggested to us by Thomas Tradler. + + \medskip Let $k[t]$ denote the ring of polynomials in $t$ with coefficients in $k$.