Journal article

### Cohomology pairings on singular quotients in geometric invariant theory

Abstract:
In this paper we shall give formulas for the pairings of intersection cohomology classes of complementary dimensions in the intersection cohomology of geometric invariant theoretic quotients for which semistability is not necessarily the same as stability (although we make some weaker assumptions on the action). We also give formulas for intersection pairings on resolutions of singularities (or more precisely partial resolutions, since orbifold singularities are allowed) of the quotients.

### Access Document

Publisher copy:
10.1007/s00031-003-0510-y

### Authors

Journal:
Transformation Groups vol. 8, (2003) 217-259
Volume:
8
Issue:
3
Pages:
217-259
Publication date:
2001-01-09
DOI:
EISSN:
1531-586X
ISSN:
1083-4362
URN:
uuid:a57b86d5-5319-4366-9be4-3df60f796388
Source identifiers:
25200
Local pid:
pubs:25200
Keywords: