Computing cup products in integral cohomology of Hilbert schemes of points on K3 surfaces

DOI10.1112/S1461157016000012zbMath1347.14005arXiv1410.8398MaRDI QIDQ2804224

Simon Kapfer

Publication date: 28 April 2016

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8398

zbMATH Keywords

\(K3\) surfacecup productintegral cohomologyHilbert scheme of points

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Computational aspects of higher-dimensional varieties (14Q15) Families, moduli, classification: algebraic theory (14J10) Orbifold cohomology (55N32)

Related Items (1)

Symmetric powers of symmetric bilinear forms, homogeneous orthogonal polynomials on the sphere and an application to compact Hyperkähler manifolds

Uses Software

• Haskell
• GHC
• HilbK3

Cites Work

• Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• The cup product of Hilbert schemes for K3 surfaces
• Integral operators and integral cohomology classes of Hilbert schemes
• Cohomology of compact hyperkähler manifolds and its applications
• INTEGRAL CONSTRAINTS ON THE MONODROMY GROUP OF THE HYPERKÄHLER RESOLUTION OF A SYMMETRIC PRODUCT OF A K3 SURFACE
• Smith theory and irreducible holomorphic symplectic manifolds
• Algebraic Families on an Algebraic Surface

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