Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
Dynamical Systems
2026-05-13 v1 Algebraic Geometry
Symplectic Geometry
Abstract
Almost 20 years ago, the first and fourth authors found examples of SL(2,R)-invariant subbundles of Hodge bundles over Teichm\"uller curves having maximally degenerate Lyapunov spectrum. For these same surfaces, we show that a natural non-Abelian analogue has no zero Lyapunov exponents.
Cite
@article{arxiv.2605.11298,
title = {Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties},
author = {Giovanni Forni and William M. Goldman and Sean Lawton and Carlos Matheus},
journal= {arXiv preprint arXiv:2605.11298},
year = {2026}
}
Comments
74 pages, 5 figures, 2 appendices