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arXiv · 2605.11298

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

Giovanni Forni·William M. Goldman·Sean Lawton·Carlos Matheus
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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.

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Giovanni Forni, William M. Goldman, Sean Lawton, Carlos Matheus. 2026-05-11. Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties. https://arxiv.org/abs/2605.11298

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