Cohomology pairings on singular quotients in geometric invariant theory
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...
| Main Authors: | , , , |
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| Format: | Journal article |
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2001
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| _version_ | 1797086698414276608 |
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| author | Jeffrey, L Kiem, Y Kirwan, F Woolf, J |
| author_facet | Jeffrey, L Kiem, Y Kirwan, F Woolf, J |
| author_sort | Jeffrey, L |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T02:25:39Z |
| format | Journal article |
| id | oxford-uuid:a57b86d5-5319-4366-9be4-3df60f796388 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:25:39Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:a57b86d5-5319-4366-9be4-3df60f7963882022-03-27T02:40:54ZCohomology pairings on singular quotients in geometric invariant theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a57b86d5-5319-4366-9be4-3df60f796388Symplectic Elements at Oxford2001Jeffrey, LKiem, YKirwan, FWoolf, JIn 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. |
| spellingShingle | Jeffrey, L Kiem, Y Kirwan, F Woolf, J Cohomology pairings on singular quotients in geometric invariant theory |
| title | Cohomology pairings on singular quotients in geometric invariant theory |
| title_full | Cohomology pairings on singular quotients in geometric invariant theory |
| title_fullStr | Cohomology pairings on singular quotients in geometric invariant theory |
| title_full_unstemmed | Cohomology pairings on singular quotients in geometric invariant theory |
| title_short | Cohomology pairings on singular quotients in geometric invariant theory |
| title_sort | cohomology pairings on singular quotients in geometric invariant theory |
| work_keys_str_mv | AT jeffreyl cohomologypairingsonsingularquotientsingeometricinvarianttheory AT kiemy cohomologypairingsonsingularquotientsingeometricinvarianttheory AT kirwanf cohomologypairingsonsingularquotientsingeometricinvarianttheory AT woolfj cohomologypairingsonsingularquotientsingeometricinvarianttheory |