A friendly introduction to the bordered contact invariant
Geometric Topology
2022-11-02 v2 Symplectic Geometry
Abstract
We give a short introduction to the contact invariant in bordered Floer homology defined by F\"oldv\'ari, Hendricks, and the authors. The construction relies on a special class of foliated open books. We discuss a procedure to obtain such a foliated open book and present a definition of the contact invariant. We also provide a "local proof", through an explicit bordered computation, of the vanishing of the contact invariant for overtwisted structures.
Keywords
Cite
@article{arxiv.2104.07616,
title = {A friendly introduction to the bordered contact invariant},
author = {Akram Alishahi and Joan Licata and Ina Petkova and Vera Vértesi},
journal= {arXiv preprint arXiv:2104.07616},
year = {2022}
}
Comments
Expanded the exposition, reorganized, and added new examples. 23 pages, 17 figures