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  Periods of abelian differentials and dynamics

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-50EC-6 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-50ED-5
Genre: Contribution to Collected Edition

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arXiv:1710.11234.pdf (Preprint), 233KB
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 Creators:
Kapovich, Michael1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Dynamical Systems, Complex Variables
 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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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 19
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1710.11234
URI: http://arxiv.org/abs/1710.11234
 Degree: -

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Title: Dynamics: topology and numbers
Source Genre: Collected Edition
 Creator(s):
Moree, Pieter1, Editor           
Pohl, Anke, Editor
Snoha, L’ubomír , Editor
Ward , Tom, Editor
Affiliations:
1 Max Planck Institute for Mathematics, Max Planck Society, ou_3029201            
Publ. Info: Province : American Mathematical Society
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 297 - 315 Identifier: ISBN: 978-1-4704-5100-4
ISBN: 978-1-4704-5454-8

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Title: Contemporary Mathematics
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Pages: - Volume / Issue: 744 Sequence Number: - Start / End Page: - Identifier: -