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A smooth mixing flow on a surface with nondegenerate fixed points


Authors: Jon Chaika and Alex Wright
Journal: J. Amer. Math. Soc. 32 (2019), 81-117
MSC (2010): Primary 22E60, 15A57, 17B20, 58C35
DOI: https://doi.org/10.1090/jams/911
Published electronically: October 9, 2018
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Abstract: We construct a smooth, area preserving, mixing flow with finitely many nondegenerate fixed points and no saddle connections on a closed surface of genus $ 5$. This resolves a problem that has been open for four decades.


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Additional Information

Jon Chaika
Affiliation: Department of Mathematics, University of Utah, 155 S 1400 E, Room 233, Salt Lake City, Utah 84112
Email: chaika@math.utah.edu

Alex Wright
Affiliation: Department of Mathematics, Stanford University, Palo Alto, California 94305
Address at time of publication: University of Michigan, Department of Mathematics, 2074 East Hall, 530 Church Street, Ann Arbor, Michigan 48109-1043
Email: alexmw@umich.edu

DOI: https://doi.org/10.1090/jams/911
Received by editor(s): November 6, 2015
Received by editor(s) in revised form: September 1, 2016, February 6, 2017, June 26, 2017, November 8, 2017, and January 20, 2018
Published electronically: October 9, 2018
Additional Notes: The research of the first author was partially supported by the NSF grants DMS 1004372, 1300550 and a Warnock Chair.
The research of the second author was partially supported by a Clay Research Fellowship.
Article copyright: © Copyright 2018 American Mathematical Society

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