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2 votes

Intersection Cohomology and $L^2$ cohomology

There are some other cases where the relation between intersection cohomology and L^2 cohomology are well understood. For example, see Hunsicker's "Hodge and signature theorems for a family of manifol …
Greg Friedman's user avatar
2 votes

Internal product on intersection (co)homology

With torsion free conditions on the space, there is an internal cup product on the top perversity intersection cohomology. More generally you can have an internal cup product for perversities that are …
Greg Friedman's user avatar
5 votes
Accepted

Confusion about a proof from Goresky and MacPherson's "Intersection Homology II"

As noted by Chris Gerig in the comments, letting $cX$ denote the open cone on the compact space $X$ then $(cX)\times (cY)\cong c(X*Y)$, where $X*Y$ is the join. In the case at hand, Goresky and MacPhe …
Greg Friedman's user avatar
1 vote
Accepted

What is the hypercohomology of the push-forward of the intersection chain complex of an open...

I just realized I made an error in my previous answer here, so I've updated it: Do you mean $Ri_*$ or literally $i_*$? $Ri_*$ would be the more usual thing to ask about in this context. Then, in gene …
Greg Friedman's user avatar
9 votes

Stratified pseudomanifold

It's not! Okay, that's a little too glib. You're right that it's often required that $X^{n-1}=X^{n-2}$, but it depends somewhat on your purpose. In most of my recent papers, including those I'm curren …
Greg Friedman's user avatar