The algebraic hull of the Kontsevich--Zorich cocycle

By A. Eskin, Simion Filip, A. Wright. Annals of Mathematics, 2017

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

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3bb61a99a338edbce1b173f33caee9e104af1899