The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials
oleh: Matteo Costantini, Martin Möller, Jonathan Zachhuber
| Format: | Article |
|---|---|
| Diterbitkan: | Cambridge University Press 2022-01-01 |
Deskripsi
For the moduli spaces of Abelian differentials, the Euler characteristic is one of the most intrinsic topological invariants. We give a formula for the Euler characteristic that relies on intersection theory on the smooth compactification by multi-scale differentials. It is a consequence of a formula for the full Chern polynomial of the cotangent bundle of the compactification.