Loci in strata of meromorphic differentials with fully degenerate Lyapunov spectrum

Abstract

We construct explicit closed GL(2, R)-invariant loci in strata of meromorphic differentials of arbitrary large dimension with fully degenerate Lyapunov spectrum. This answers a question of Forni-Matheus-Zorich.

References in corpus (2)

• Invariant and stationary measures for the SL(2,R) action on Moduli space
• Square-tiled cyclic covers

Cited by in corpus (2)

• On ergodicity of foliations on ${\mathbb{Z}}^d$-covers of half-translation surfaces and some applications to periodic systems of Eaton lenses
• Affine Manifolds and Zero Lyapunov Exponents in Genus 3