The Euler characteristic of moduli spaces of meromorphic differentials
Martin Moeller (Johann Wolfgang Goethe-Universität Frankfurt)
MSRI: Simons Auditorium
We compute the cotangent bundle to the moduli spaces of meromorphic differentials. This relies on the fine structure at the boundary of the smooth compactification by multi-scale differentials. As a consequence we obtain a canonical bundle formula and an algorithm to compute Euler characteristics.