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Results tagged with intersection-cohomology
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user 6646
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 …
- 5,489
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 …
- 5,489
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 …
- 5,489
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 …
- 5,489
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 …
- 5,489