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Some problems on mapping class groups and moduli space

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arxiv math/0606432 v1 pith:7BIZPZUD submitted 2006-06-19 math.GT math.GR

Benson Farb This is my paper · ORCID
classification math.GTmath.GR
keywords classgroupsmappingproblemsmathmodulispaceamer
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This paper presents a number of problems about mapping class groups and moduli space. The paper will appear in the book "Problems on Mapping Class Groups and Related Topics", ed. by B. Farb, Proc. Symp. Pure Math. series, Amer. Math. Soc.

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  1. Finite generation, algebraicity, and representation stability for homology of Torelli groups

    math.GT 2026-06 unverdicted novelty 8.0 of 10

    Proves finite generation of H_k(I_g; Z) for k ≤ g-2 and that rational homology is an algebraic Sp(2g,Z)-representation, turning conditional cohomology computations into theorems and proving Morita's conjecture.

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