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math.GT2025
Abelian covers of surfaces and the homology of the Torelli group
Daniel Minahan, Andrew Putman
We study the first homology group of the mapping class group and Torelli group with coefficients in the first rational homology group of the universal abelian cover of the surface.…
math.GT2025
The second rational homology of the Torelli group
Daniel Minahan, Andrew Putman
We calculate the second rational homology group of the Torelli group for .