On the first cohomology group of cofinite subgroups in surface mapping class groups

DOI10.1016/S0040-9383(99)00066-XzbMath0976.14023OpenAlexW2133790605MaRDI QIDQ5930187

John D. McCarthy

Publication date: 17 April 2001

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0040-9383(99)00066-x

zbMATH Keywords

mapping class groupcompact Riemann surfacefirst cohomology groupTorelli group cohomology

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Classical real and complex (co)homology in algebraic geometry (14F25) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphisms of curves (14H37)

Related Items (12)

The abelianization of a symmetric mapping class group ⋮ \(C^1\) actions on the circle of finite index subgroups of \(\mathrm{Mod}(\Sigma_g)\), \(\mathrm{Aut}(F_n)\), and \(\mathrm{Out}(F_n)\) ⋮ On finiteness properties of the Johnson filtrations ⋮ Unramified correspondences and virtual properties of mapping class groups ⋮ The Picard group of the moduli space of curves with level structures ⋮ Entropy zero area preserving diffeomorphisms of \(S^{2}\) ⋮ Arithmetic quotients of the mapping class group ⋮ Applications of quantum representations of mapping class groups ⋮ The second rational homology group of the moduli space of curves with level structures ⋮ A note on the abelianizations of finite-index subgroups of the mapping class group ⋮ On the asymptotics of quantum SU(2) representations of mapping class groups ⋮ \(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups

This page was built for publication: On the first cohomology group of cofinite subgroups in surface mapping class groups