|
This article is cited in 4 scientific papers (total in 4 papers)
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on $K3$ Surfaces
Georg Oberdieck Mathematisches Institut, Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
Abstract:
We interprete results of Markman on monodromy operators as a universality statement for descendent integrals over moduli spaces of stable sheaves on $K3$ surfaces. This yields effective methods to reduce these descendent integrals to integrals over the punctual Hilbert scheme of the $K3$ surface. As an application we establish the higher rank Segre–Verlinde correspondence for $K3$ surfaces as conjectured by Göttsche and Kool.
Keywords:
moduli spaces of sheaves, $K3$ surfaces, descendent integrals.
Received: January 23, 2022; in final form October 6, 2022; Published online October 13, 2022
Citation:
Georg Oberdieck, “Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on $K3$ Surfaces”, SIGMA, 18 (2022), 076, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1872 https://www.mathnet.ru/eng/sigma/v18/p76
|
Statistics & downloads: |
Abstract page: | 52 | Full-text PDF : | 20 | References: | 16 |
|