The Torelli group and congruence subgroups of the mapping class group

zbMath1275.14027arXiv1201.3946MaRDI QIDQ2848315

Andrew Putman

Publication date: 26 September 2013

Full work available at URL: https://arxiv.org/abs/1201.3946

zbMATH Keywords

mapping class groupsTorelli groupJohnson homomorphismhomological stabilitymoduli spaces of curvescurves with level structureshomology and cohomology of groups

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Families, moduli of curves (analytic) (14H15) Classification theory of Riemann surfaces (30F20)

Related Items (6)

The braided Thompson's groups are of type \(F_\infty\) ⋮ Galois action on universal covers of Kodaira fibrations ⋮ The Johnson homomorphism and its kernel ⋮ Equivariant group presentations and the second homology group of the Torelli group ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ Congruence subgroups of braid groups

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