Periods of abelian differentials and dynamics

Kapovich, Michael

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Periods of abelian differentials and dynamics

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Kapovich, Michael
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1090/conm/744/14989
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arXiv:1710.11234.pdf
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Citation

Kapovich, M. (2020). Periods of abelian differentials and dynamics. In P. Moree, A. Pohl, L. Snoha, & T. Ward (Eds.), Dynamics: topology and numbers (pp. 297-315). Province: American Mathematical Society.

Cite as: https://hdl.handle.net/21.11116/0000-0006-50EC-6

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.