The second rational homology group of the moduli space of curves with level structures

DOI10.1016/j.aim.2011.10.017zbMath1250.14019arXiv0809.4477OpenAlexW2952900074MaRDI QIDQ655375

Andrew Putman

Publication date: 4 January 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4477

zbMATH Keywords

group cohomologyPicard groupmapping class groupTorelli groupmoduli space of curveslevel structures

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Picard groups (14C22)

Related Items

On the second homology group of the Torelli subgroup of \(\Aut(F_n)\), Borel stability for congruence subgroups, The high-dimensional cohomology of the moduli space of curves with level structures, The Picard group of the moduli space of curves with level structures, Topology. Abstracts from the workshop held July 24--30, 2022, Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces, The Picard group of the moduli space of \(r\)-spin Riemann surfaces, The complex of partial bases for \(F_n\) and finite generation of the Torelli subgroup of \(\Aut(F_n)\)., Galois coverings of moduli spaces of curves and loci of curves with symmetry, Rational points of universal curves, Equivariant cohomology of moduli spaces of genus three curves with level two structure

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