E-polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties of complex curves of genus 3

zbMath1369.14014arXiv1405.7120MaRDI QIDQ315843

Vicente Muñoz, Javier Martínez-Martínez

Publication date: 26 September 2016

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

Full work available at URL: https://arxiv.org/abs/1405.7120

zbMATH Keywords

complex projective curvecharacter varietyBetti moduli spaceHodge-Deligne polynomial

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 (4)

Virtual classes of parabolic \(\operatorname{SL}_2(\mathbb{C})\)-character varieties ⋮ A lax monoidal topological quantum field theory for representation varieties ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ Representation variety for the rank one affine group

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