Binary file blob1.pdf has changed
--- a/blob1.tex Mon Apr 21 17:41:17 2008 +0000
+++ b/blob1.tex Mon Apr 21 18:14:45 2008 +0000
@@ -590,6 +590,8 @@
In this section we analyze the blob complex in dimension $n=1$
and find that for $S^1$ the homology of the blob complex is the
Hochschild homology of the category (algebroid) that we started with.
+\nn{or maybe say here that the complexes are quasi-isomorphic? in general,
+should perhaps put more emphasis on the complexes and less on the homology.}
Notation: $HB_i(X) = H_i(\bc_*(X))$.
@@ -628,6 +630,8 @@
the boundary condition $c$ and the domains and ranges of the point labels.
\item There is an evaluation map $e: \cC(I; a, b) \to \mor(a, b)$ given by
composing the morphism labels of the points.
+Note that we also need the * of *-1-category here in order to make all the morphisms point
+the same way.
\item For $x \in \mor(a, b)$ let $\chi(x) \in \cC(I; a, b)$ be the field with a single
point (at some standard location) labeled by $x$.
Then the kernel of the evaluation map $U(I; a, b)$ is generated by things of the