Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties

Fuente: arXiv
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Autori principali: Forni, Giovanni, Goldman, William M., Lawton, Sean, Matheus, Carlos
Natura: Preprint
Pubblicazione: 2026
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author Forni, Giovanni
Goldman, William M.
Lawton, Sean
Matheus, Carlos
author_facet Forni, Giovanni
Goldman, William M.
Lawton, Sean
Matheus, Carlos
contents Almost 20 years ago, the first and fourth authors found examples of SL(2,R)-invariant subbundles of Hodge bundles over Teichmüller curves having maximally degenerate Lyapunov spectrum. For these same surfaces, we show that a natural non-Abelian analogue has no zero Lyapunov exponents.
format Preprint
id arxiv_https___arxiv_org_abs_2605_11298
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
Forni, Giovanni
Goldman, William M.
Lawton, Sean
Matheus, Carlos
Dynamical Systems
Algebraic Geometry
Symplectic Geometry
14M35, 22D40 (Primary) 53D30, 37A25 (Secondary)
Almost 20 years ago, the first and fourth authors found examples of SL(2,R)-invariant subbundles of Hodge bundles over Teichmüller curves having maximally degenerate Lyapunov spectrum. For these same surfaces, we show that a natural non-Abelian analogue has no zero Lyapunov exponents.
title Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
topic Dynamical Systems
Algebraic Geometry
Symplectic Geometry
14M35, 22D40 (Primary) 53D30, 37A25 (Secondary)
url https://arxiv.org/abs/2605.11298