A friendly introduction to the bordered contact invariant

Akram Alishahi; Joan Licata; Ina Petkova; Vera Vértesi

doi:10.2140/obs.2022.5.1

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arXiv · 2104.07616

A friendly introduction to the bordered contact invariant

Akram Alishahi·Joan Licata·Ina Petkova·Vera Vértesi

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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.

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Akram Alishahi, Joan Licata, Ina Petkova, Vera Vértesi. 2021-04-15. A friendly introduction to the bordered contact invariant. https://doi.org/10.2140/obs.2022.5.1

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