INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS-Reference-Cited by-同舟云学术

INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS

Published:2021-10-08 Issue: Volume: Page:1-40
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Mauri Mirko^ORCID

Abstract

Abstract For

$G = \mathrm {GL}_2, \mathrm {SL}_2, \mathrm {PGL}_2$

we compute the intersection E-polynomials and the intersection Poincaré polynomials of the G-character variety of a compact Riemann surface C and of the moduli space of G-Higgs bundles on C of degree zero. We derive several results concerning the P=W conjectures for these singular moduli spaces.

Funder

Max Planck Institute for Mathematics, Bonn, Germany

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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