Abelianization for hyperkahler quotients
We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications...
| Autores principales: | , |
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| Formato: | Journal article |
| Lenguaje: | English |
| Publicado: |
2003
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| _version_ | 1826267926472163328 |
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| author | Hausel, T Proudfoot, N |
| author_facet | Hausel, T Proudfoot, N |
| author_sort | Hausel, T |
| collection | OXFORD |
| description | We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space. |
| first_indexed | 2024-03-06T21:01:45Z |
| format | Journal article |
| id | oxford-uuid:3b1c3ffd-d1ae-457b-a6ba-25cdf66a9b5b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:01:45Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:3b1c3ffd-d1ae-457b-a6ba-25cdf66a9b5b2022-03-26T14:05:39ZAbelianization for hyperkahler quotientsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3b1c3ffd-d1ae-457b-a6ba-25cdf66a9b5bEnglishSymplectic Elements at Oxford2003Hausel, TProudfoot, NWe study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space. |
| spellingShingle | Hausel, T Proudfoot, N Abelianization for hyperkahler quotients |
| title | Abelianization for hyperkahler quotients |
| title_full | Abelianization for hyperkahler quotients |
| title_fullStr | Abelianization for hyperkahler quotients |
| title_full_unstemmed | Abelianization for hyperkahler quotients |
| title_short | Abelianization for hyperkahler quotients |
| title_sort | abelianization for hyperkahler quotients |
| work_keys_str_mv | AT hauselt abelianizationforhyperkahlerquotients AT proudfootn abelianizationforhyperkahlerquotients |