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Morse foliated open books
and right-veering monodromies
Vera Vértesi and Joan E. Licata |
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Vol. 5 (2022), No. 1, 311–326
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DOI: 10.2140/obs.2022.5.311
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Abstract |
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Morse foliated open books were introduced by the authors (arXiv 2002.01752v1), along with abstract and embedded versions, as a tool for studying contact manifolds with boundary. This article illustrates the advantages of the Morse perspective. We use this to extend the definition of right-veering to foliated open books and we show that it plays a similar role in detecting overtwistedness as in other versions of open books. |
Keywords
contact structure, partial open book, open book foliation,
Morse function, monodromy, right-veering, tight,
overtwisted
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Mathematical Subject Classification
Primary: 57K33
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Milestones
Received: 19 February 2021
Revised: 27 October 2021
Accepted: 28 October 2021
Published: 26 October 2022
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Authors |
| Vera Vértesi | |
| Faculty of Mathematics University of Vienna 1090 Vienna Austria |
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| Joan E. Licata | |
| Mathematical Sciences
Institute The Australian National University Canberra ACT 0200 Australia |
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