Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces
We interpret the results of Markman on monodromy operators as a universality statement for descendant integrals over moduli spaces of stable sheaves on 3 surfaces. This yields effective methods to reduce these descendant integrals to integrals over the punctual Hilbert scheme of the 3 surface. As an...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2022 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211828 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces. Georg Oberdieck. SIGMA 18 (2022), 076, 15 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862718165188870144 |
|---|---|
| author | Oberdieck, Georg |
| author_facet | Oberdieck, Georg |
| citation_txt | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces. Georg Oberdieck. SIGMA 18 (2022), 076, 15 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We interpret the results of Markman on monodromy operators as a universality statement for descendant integrals over moduli spaces of stable sheaves on 3 surfaces. This yields effective methods to reduce these descendant integrals to integrals over the punctual Hilbert scheme of the 3 surface. As an application, we establish the higher rank Segre-Verlinde correspondence for 3 surfaces as conjectured by Göttsche and Kool.
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| first_indexed | 2026-03-20T19:12:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211828 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-20T19:12:54Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Oberdieck, Georg 2026-01-12T10:22:35Z 2022 Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces. Georg Oberdieck. SIGMA 18 (2022), 076, 15 pages 1815-0659 2020 Mathematics Subject Classification: 14D20; 14J28; 14J80; 14J60 arXiv:2201.03833 https://nasplib.isofts.kiev.ua/handle/123456789/211828 https://doi.org/10.3842/SIGMA.2022.076 We interpret the results of Markman on monodromy operators as a universality statement for descendant integrals over moduli spaces of stable sheaves on 3 surfaces. This yields effective methods to reduce these descendant integrals to integrals over the punctual Hilbert scheme of the 3 surface. As an application, we establish the higher rank Segre-Verlinde correspondence for 3 surfaces as conjectured by Göttsche and Kool. I thank Martijn Kool for bringing Conjecture 5.1 of [3] to my attention and Lothar Göttsche for useful comments. I am also indebted to the referees for careful reading of the paper and pointing out several issues in an earlier version. The author is partially funded by the Deutsche Forschungsgemeinschaft (DFG)– OB 512/1-1. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces Article published earlier |
| spellingShingle | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces Oberdieck, Georg |
| title | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces |
| title_full | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces |
| title_fullStr | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces |
| title_full_unstemmed | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces |
| title_short | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces |
| title_sort | universality of descendent integrals over moduli spaces of stable sheaves on 3 surfaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211828 |
| work_keys_str_mv | AT oberdieckgeorg universalityofdescendentintegralsovermodulispacesofstablesheaveson3surfaces |