# HG changeset patch # User Kevin Walker # Date 1318529938 25200 # Node ID 6e063400ad276876cb51ebae3c8bc8da5d454f8b # Parent 33404cea7dd3c601f59db1f4e78da650480bd20e# Parent f194ed15587b9002a5ced56bf040960e3dd0a4ce Automated merge with https://tqft.net/hg/blob/ diff -r f194ed15587b -r 6e063400ad27 text/a_inf_blob.tex --- a/text/a_inf_blob.tex Thu Oct 13 11:18:52 2011 -0700 +++ b/text/a_inf_blob.tex Thu Oct 13 11:18:58 2011 -0700 @@ -271,7 +271,7 @@ or the fields $\cE(p^*(E))$, when $\dim(D) < k$. (Here $p^*(E)$ denotes the pull-back bundle over $D$.) Let $\cF_E$ denote this $k$-category over $Y$. -We can adapt the homotopy colimit construction (based decompositions of $Y$ into balls) to +We can adapt the homotopy colimit construction (based on decompositions of $Y$ into balls) to get a chain complex $\cl{\cF_E}(Y)$. \begin{thm} @@ -291,7 +291,7 @@ \[ \psi: \cl{\cF_E}(Y) \to \bc_*(E) . \] -0-simplices of the homotopy colimit $\cl{\cF_E}(Y)$ are glued up to give an element of $\bc_*(E)$. +The 0-simplices of the homotopy colimit $\cl{\cF_E}(Y)$ are glued up to give an element of $\bc_*(E)$. Simplices of positive degree are sent to zero. Let $G_* \sub \bc_*(E)$ be the image of $\psi$. diff -r f194ed15587b -r 6e063400ad27 text/deligne.tex --- a/text/deligne.tex Thu Oct 13 11:18:52 2011 -0700 +++ b/text/deligne.tex Thu Oct 13 11:18:58 2011 -0700 @@ -211,7 +211,7 @@ \end{thm} The ``up to coherent homotopy" in the statement is due to the fact that the isomorphisms of -\ref{lem:bc-btc} and \ref{thm:gluing} are only defined to up to a contractible set of homotopies. +\ref{lem:bc-btc} and \ref{thm:gluing} are only defined up to a contractible set of homotopies. If, in analogy to Hochschild cochains, we define elements of $\hom(M, N)$ to be ``blob cochains", we can summarize the above proposition by saying that the $n$-SC operad acts on