5 citations · 11 across the 4 of their papers we have counts for
5 papers
Gap between Lyapunov exponents for Hitchin representations
Matteo Costantini, Florestan Martin-Baillon
We study Lyapunov exponents for flat bundles over hyperbolic curves defined via parallel transport over the geodesic flow. We consider them as invariants on the space of Hitchin re…
On the Kodaira dimension of moduli spaces of Abelian differentials
Dawei Chen, Matteo Costantini, Martin Möller
This paper lays the foundation for determining the Kodaira dimension of the projectivized strata of Abelian differentials with prescribed zero and pole orders in large genus. We wo…
diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials
Matteo Costantini, Martin Möller, Jonathan Zachhuber
The boundary of the multi-scale differential compactification of strata of abelian differentials admits an explicit combinatorial description. However, even for low-dimensional str…
The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials
Matteo Costantini, Martin Möller, Jonathan Zachhuber
For the moduli spaces of Abelian differentials, the Euler characteristic is one of the most basic intrinsic topological invariants. We give a formula for the Euler characteristic t…
Lyapunov exponents, holomorphic flat bundles and de Rham moduli space
Matteo Costantini
We consider Lyapunov exponents for flat bundles over hyperbolic curves defined via parallel transport over the geodesic flow. We refine a lower bound obtained by Eskin, Kontsevich,…