arXiv:2103.15126 Abstract | arXiv Analytics

arXiv:2103.15126 [math.DS]Abstract References Reviews Resources

Oscillations and the Kontsevich-Zorich cocycle

Published 2021-03-28Version 1

We present a mechanism for producing oscillations along the lift of the Teichm\"uller geodesic flow to the (real) Hodge bundle, as the basepoint surface is deformed by a unipotent element of $\text{SL}_2(\mathbb{R})$. Invoking Chen-M\"oller, we apply our methods to all but finitely many strata in genus $4$, those exhibiting a varying Lyapunov-exponents phenomenon.

Comments: 12 pages

Categories: math.DS

Keywords: kontsevich-zorich cocycle, geodesic flow, hodge bundle, basepoint surface, unipotent element

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