A User's Guide to Morse Foliated Open Books

Morse foliated open books were introduced by the autors (along with abstract and embedded versions) as a tool for studying contact manifolds with boundary, and this article illustrates the advantages of the Morse perspective. We use this to extend the definition of \textit{right-veering} to foliated...

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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Licata, Joan E, Vértesi, Vera
Format: Article
Language:English
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Summary:Morse foliated open books were introduced by the autors (along with abstract and embedded versions) as a tool for studying contact manifolds with boundary, and this article illustrates the advantages of the Morse perspective. We use this to extend the definition of \textit{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.
ISSN:2331-8422
DOI:10.48550/arxiv.2104.06705