Loci in strata of meromorphic differentials with fully degenerate Lyapunov spectrum
Julien Grivaux, Pascal Hubert
TL;DR
This paper constructs explicit examples of invariant loci in moduli spaces of meromorphic differentials that have a fully degenerate Lyapunov spectrum, addressing a significant open question.
Contribution
It provides explicit constructions of GL(2, R)-invariant loci with fully degenerate Lyapunov spectra in arbitrary large dimensions, solving a problem posed by Forni-Matheus-Zorich.
Findings
Explicit loci with degenerate spectra constructed
Addresses open question in the field
Loci exist in arbitrarily large dimensions
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.
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