arXiv:1710.11234 Abstract | arXiv Analytics

arXiv:1710.11234 [math.DS]Abstract References Reviews Resources

Periods of abelian differentials and dynamics

Published 2017-10-30Version 1

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.

Comments: A copy of my 2000 preprint

Categories: math.DS, math.CV

Keywords: abelian differentials, cohomology classes, period characters, complex structure, ratners solution

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