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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211828 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on 3 Surfaces. Georg Oberdieck. SIGMA 18 (2022), 076, 15 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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| ISSN: | 1815-0659 |