2 papers
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…
math.AG2025
The stable cohomology of the moduli space of curves with level structures
Andrew Putman
We prove that in a stable range, the rational cohomology of the moduli space of curves with level structures is the same as that of the ordinary moduli space of curves.