Loci in strata of meromorphic quadratic differentials  with fully degenerate Lyapunov spectrum

Julien Grivaux; Pascal Hubert

doi:10.3934/jmd.2014.8.61

Article Contents

2014, Volume 8, Issue 1: 61-73. Doi: 10.3934/jmd.2014.8.61

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Loci in strata of meromorphic quadratic differentials with fully degenerate Lyapunov spectrum

Julien Grivaux^1, and
Pascal Hubert^1,

1.
I2M, Université d’Aix-Marseille, 39 rue F. Joliot- Curie, 13453 Marseille Cedex 20

Received: July 2013

Published online: July 2014

Abstract / Introduction Related Papers Cited by

Abstract

We construct explicit closed $\mathrm{GL}(2; \mathbb{R})$-invariant loci in strata of meromorphic quadratic differentials of arbitrarily large dimension with fully degenerate Lyapunov spectrum. This answers a question of Forni-Matheus-Zorich.

Keywords:

Meromorphic quadratic differentials,
degenerate Lyapunov spectrum.

Mathematics Subject Classification: Primary: 30F60, 32G15, 32G20; Secondary: 37H15.

Citation:

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References

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