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arXiv · 1710.11234

Periods of abelian differentials and dynamics

Michael Kapovich
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Abstract

Given a closed oriented surface S we describe those cohomology classes which appear as the period characters of abelian differentials for some choice of complex structure on S consistent with the orientation. The proof is based upon Ratner's solution of Raghunathan's conjecture.

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Michael Kapovich. 2017-10-30. Periods of abelian differentials and dynamics. https://arxiv.org/abs/1710.11234

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