Universality of descendent integrals over moduli spaces of stable sheaves on \(K3\) surfaces

DOI10.3842/SIGMA.2022.076zbMath1497.14023arXiv2201.03833MaRDI QIDQ2084156

Georg Oberdieck

Publication date: 18 October 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.03833

zbMATH Keywords

\(K3\) surfacesmoduli spaces of sheavesdescendent integrals

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80)

Related Items (3)

Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds ⋮ Virtual Segre and Verlinde numbers of projective surfaces ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds

Cites Work

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• Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
• Higher rank Segre integrals over the Hilbert scheme of points
• Moduli spaces of sheaves on \(K3\) surfaces and Galois representations
• \(K\)-theoretic Donaldson invariants via instanton counting
• The combinatorics of Lehn's conjecture
• Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces
• Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
• Segre classes and Hilbert schemes of points
• Lectures on K3 Surfaces
• Segre classes of tautological bundles on Hilbert schemes of surfaces
• On the monodromy of moduli spaces of sheaves on K3 surfaces
• Virtual Segre and Verlinde numbers of projective surfaces

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