English

A User's Guide to Morse Foliated Open Books

Geometric Topology 2022-11-02 v1 Symplectic Geometry

Abstract

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.

Cite

@article{arxiv.2104.06705,
  title  = {A User's Guide to Morse Foliated Open Books},
  author = {Joan E. Licata and Vera Vértesi},
  journal= {arXiv preprint arXiv:2104.06705},
  year   = {2022}
}

Comments

16 pages, 12 pictures

R2 v1 2026-06-24T01:09:13.239Z