E-Polynomials of the SL(2, ℂ)-Character Varieties of Surface Groups

DOI10.1093/imrn/rnv163zbMath1353.14013arXiv1407.6975OpenAlexW2100337662MaRDI QIDQ2796768

Vicente Muñoz, Javier Martínez-Martínez

Publication date: 29 March 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6975

zbMATH Keywords

stratificationsE-polynomialsSL(2,C)-character varieties

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (12)

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 ⋮ Motive of the \(\mathrm{SL}_4\)-character variety of torus knots ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS ⋮ Quantization of algebraic invariants through Topological Quantum Field Theories ⋮ On character varieties of singular manifolds ⋮ Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups ⋮ Topological mirror symmetry for rank two character varieties of surface groups ⋮ Representation variety for the rank one affine group ⋮ Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories

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