July 2018 The algebraic hull of the Kontsevich–Zorich cocycle
Alex Eskin, Simion Filip, Alex Wright
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Ann. of Math. (2) 188(1): 281-313 (July 2018). DOI: 10.4007/annals.2018.188.1.5

Abstract

We compute the algebraic hull of the Kontsevich--Zorich cocycle over any $\mathrm{GL}^+_2(\mathbb{R})$ invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarieties.

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Alex Eskin. Simion Filip. Alex Wright. "The algebraic hull of the Kontsevich–Zorich cocycle." Ann. of Math. (2) 188 (1) 281 - 313, July 2018. https://doi.org/10.4007/annals.2018.188.1.5

Information

Published: July 2018
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2018.188.1.5

Subjects:
Primary: 14D07 , 32G15 , 37C85 , 7D40

Keywords: Abelian differential , algebraic hull , Kontsevich--Zorich cocycle , Teichmüller geodesic flow

Rights: Copyright © 2018 Department of Mathematics, Princeton University

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Vol.188 • No. 1 • July 2018
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