Hodge-Deligne polynomials of character varieties of free abelian groups

DOI10.1515/math-2021-0038zbMath1478.14077arXiv1711.07909OpenAlexW3164842278MaRDI QIDQ2053612

Yanyan Li

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07909

zbMATH Keywords

finite quotientsmixed Hodge structurescharacter varietyfree abelian groupequivariant E-polynomialsHodge-Deligne polynomials

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group actions on varieties or schemes (quotients) (14L30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Character varieties (14M35)

Related Items (10)

Plethystic Exponential Calculus and Characteristic Polynomials of Permutations ⋮ Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups ⋮ Poincaré series of character varieties for nilpotent groups ⋮ Generating series for the E‐polynomials of GL(n,C)$GL(n,{\mathbb {C}})$‐character varieties ⋮ Representation varieties of twisted Hopf links ⋮ On the motivic class of the moduli stack of twisted \(G\)-covers ⋮ On character varieties of singular manifolds ⋮ Flawed groups and the topology of character varieties ⋮ On Hodge polynomials of singular character varieties ⋮ Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories

Cites Work

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• Hodge polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties for curves of small genus
• Arithmetic harmonic analysis on character and quiver varieties
• On the \(E\)-polynomials of a family of \({\mathrm {Sl}}_n\)-character varieties
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• Semistable bundles over an elliptic curve
• Moduli of representations of the fundamental group of a smooth projective variety. II
• A lax monoidal topological quantum field theory for representation varieties
• Character varieties of abelian groups
• Topology of character varieties of abelian groups
• Poincaré series of character varieties for nilpotent groups
• Commuting elements in reductive groups and Higgs bundles on abelian varieties
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Character varieties
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• On the Index of a Fibered Manifold
• The Self-Duality Equations on a Riemann Surface
• Geometric Invariant Theory
• Almost commuting elements in compact Lie groups
• Homological Stability for Spaces of Commuting Elements in Lie Groups
• Arithmetic of singular character varieties and their E‐polynomials
• Mixed Hodge Structures
• Indecomposable vector bundles and stable Higgs bundles over smooth projective curves
• \(E\)-polynomial of the \(\operatorname{SL}(3, \mathbb{C})\)-character variety of free groups

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