Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform

DOI10.1073/pnas.0601337103zbMath1160.53374arXivmath/0511163OpenAlexW2028365620WikidataQ35016597 ScholiaQ35016597MaRDI QIDQ5385903

Tamás Hausel

Publication date: 7 May 2008

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511163

zbMATH Keywords

quiver varietiesWeyl-Kac character formula

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Momentum maps; symplectic reduction (53D20) Representations of quivers and partially ordered sets (16G20)

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The integrality conjecture and the cohomology of preprojective stacks, Instanton on toric singularities and black hole countings, All the GIT quotients at once, Torus orbits on homogeneous varieties and Kac polynomials of quivers, A computational criterion for the Kac conjecture., Kac's conjecture from Nakajima quiver varieties., Counting quiver representations over finite fields via graph enumeration., On the number of stable quiver representations over finite fields., Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.

Cites Work

• Pairs of commuting matrices over a finite field
• Hyperkähler metrics and supersymmetry
• Construction of instantons
• Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima).
• Quiver varieties and Kac-Moody algebras
• Counting representations of quivers over finite fields
• Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
• The geometry and topology of toric hyperkähler manifolds