Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formul...
Saved in:
| Published in | arXiv.org |
|---|---|
| Main Authors | , |
| Format | Paper |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
09.12.1997
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formulas for intersection numbers to obtain a proof of the Verlinde formula for the dimension of the space of holomorphic sections of a line bundle over M(n,d). |
|---|---|
| AbstractList | We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formulas for intersection numbers to obtain a proof of the Verlinde formula for the dimension of the space of holomorphic sections of a line bundle over M(n,d). |
| Author | Jeffrey, Lisa C Kirwan, Frances C |
| Author_xml | – sequence: 1 givenname: Lisa surname: Jeffrey middlename: C fullname: Jeffrey, Lisa C – sequence: 2 givenname: Frances surname: Kirwan middlename: C fullname: Kirwan, Frances C |
| BookMark | eNqNi0EOgjAURBujiajcoYlrk9qC4NpodGvcmwIlFOF__G0X3l6MHsDVTObNW7ApIJgJi6RS202eSDlnsXOtEELuMpmmKmLFBbwhZ0pvEbhvDNKLj63HKnSWu0GXxnGseYMd9khDY0teBKi676ypsJ70KJGGx8fU_GpNrwG4C1SP-orNat05E_9yydan4-1w3gyEz2Ccv7cYCEZ0l2Iv0kRlSa7-e70BZdpH2Q |
| ContentType | Paper |
| Copyright | 1997. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 1997. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Technology Collection ProQuest One Community College ProQuest Central SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Engineering Collection ProQuest Engineering Database Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PIMPY PQEST PQQKQ PQUKI PRINS PTHSS |
| ID | FETCH-proquest_journals_20905437483 |
| IEDL.DBID | 8FG |
| IngestDate | Thu Oct 10 20:32:23 EDT 2024 |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-proquest_journals_20905437483 |
| OpenAccessLink | https://www.proquest.com/docview/2090543748?pq-origsite=%requestingapplication% |
| PQID | 2090543748 |
| PQPubID | 2050157 |
| ParticipantIDs | proquest_journals_2090543748 |
| PublicationCentury | 1900 |
| PublicationDate | 19971209 |
| PublicationDateYYYYMMDD | 1997-12-09 |
| PublicationDate_xml | – month: 12 year: 1997 text: 19971209 day: 09 |
| PublicationDecade | 1990 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 1997 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 2.4813387 |
| SecondaryResourceType | preprint |
| Snippet | We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic... |
| SourceID | proquest |
| SourceType | Aggregation Database |
| SubjectTerms | Bundles Bundling Homology Mathematical analysis Riemann surfaces |
| Title | Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface |
| URI | https://www.proquest.com/docview/2090543748 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1La8MwDBZbw2C37sUeXTFs1xySOq_TYCVZGayUskFvxU5sCCxOlzSHXvbbJ5l0Owx6MX5gYxtbsuRPEsBjIGIuQi90Kba2y2WiXSlJSgnCQiNHI9tMQlvMw9kHf10Fq17h1vawyj1NtIS6qHPSkaOQnuDrgpylPG2-XIoaRb-rfQiNY3A8P4pI-Iqzl18dix9G-GKe_COzlndkQ3AWYqOaMzhS5hxOLOQyby9AWmVca6FQhlmDwh3DXFUX3WfJ8KbjFWa1ZkSfqhr3o8yZ7Mgpgq0WjSytzTyjuOvUU7BlqSphDGu7RmP3S3jI0vfpzN1PbN0fnXb9t9DJFQxMbdQ1MBXxhHsiyLX0eax9ESulgyJWGlPueTcwOjTS7eHmOzi1XlkJpZGMYLBtOnWPvHYrx3ZDx-A8p_PFEktv3-kPhHGLLw |
| link.rule.ids | 783,787,12777,21400,33385,33756,43612,43817 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3NS8MwFH_ohribn_gxNaDXHtqmXXvaQaxV5xCZsFtJ2gQKNp3tevC_973Q6UHYJYSEhCTkfeTl994DuAtExEXohg7l1na4jLUjJb1SgrDQKNHIN5PQFvMw_eDPy2DZG9zaHla54YmWURd1TjZyfKTHqF1QsJTp6suhrFH0u9qn0NiFIfdRVpOnePL4a2PxwglqzP4_NmtlR3IAwzexUs0h7ChzBHsWcpm3xyCtMa61UCjDrEPhN8NaVRfdZ8mQ0pGEWa0Z8aeqxvMocyY7Copgm0UjS-szzyjvOo0U7L1UlTCGtV2jcfgJ3CYPi_vU2Sws669Om_1t1D-FgamNOgOmJjzmrghyLT0eaU9ESumgiJTGkrvuOYy3zXSxvfsG9tPF6yybPc1fLmFkI7QSYiMew2DddOoK5e5aXtvD_QF3k4tG |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Intersection+theory+on+moduli+spaces+of+holomorphic+bundles+of+arbitrary+rank+on+a+Riemann+surface&rft.jtitle=arXiv.org&rft.au=Jeffrey%2C+Lisa+C&rft.au=Kirwan%2C+Frances+C&rft.date=1997-12-09&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422 |