Hodge polynomials of the SL(2, ℂ)-character variety of an elliptic curve with two marked points

DOI10.1142/S0129167X14501250zbMath1316.14025arXiv1311.4914MaRDI QIDQ5176908

Vicente Muñoz, Marina Logares

Publication date: 5 March 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4914

zbMATH Keywords

character varietyE-polynomialparabolic Higgs bundlesHodge-Deligne polynomialrepresentations of fundamental groupdoubly periodic instantonspunctured curves

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (5)

Virtual classes of parabolic \(\operatorname{SL}_2(\mathbb{C})\)-character varieties ⋮ The quantum trace as a quantum non-abelianization map ⋮ A lax monoidal topological quantum field theory for representation varieties ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ On character varieties of singular manifolds

Cites Work

• Hodge polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties for curves of small genus
• Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
• Arithmetic harmonic analysis on character and quiver varieties
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• Nahm transform and spectral curves for doubly-periodic instantons
• Mirror symmetry, Langlands duality, and the Hitchin system
• Théorie de Hodge. II. (Hodge theory. II)
• The Self-Duality Equations on a Riemann Surface
• MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
• Asymptotic behaviour and the moduli space of doubly-periodic instantons

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