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math.GT2026
The rational homology of quotients of the curve complex
Andrew Putman
Let be the mapping class group of a genus- surface with punctures and let be its curve complex. For a finite-index subgroup $G < \ma…
math.GT2026
The kernel of the Birman-Craggs-Johnson homomorphism
Tara E. Brendle, Dan Margalit, Andrew Putman
For surfaces of genus with at most one boundary component, we give explicit generating sets for the kernel of the Birman-Craggs-Johnson homomorphism and the commutator s…
math.GT2026
Calculating the second rational cohomology group of the Torelli group
Andrew Putman
Minahan and the author recently proved results that allow the calculation of the second rational cohomology group of the Torelli group. This builds on two key ingredients: Hain's c…