Description
Title: Non-trivial cohomology of strata of differentials
Abstract: A stratum of differentials is the moduli space of complex curves together with a meromorphic form with prescribed multiplicities of zeros and poles. The strata are phase spaces of an action of SL(2, R) and thus the central object of study in Teichmuller dynamics. On the other hand, they give natural high codimension subvarieties of the moduli of curves with marked points. We construct various non-trivial and non-tautological cohomology classes on stata of differentials and their compactifications. Joint work with Prabhat Devkota