Detecting right-veering diffeomorphisms
Geometric Topology
2025-05-09 v3
Abstract
A result of Honda, Kazez, and Mati\'{c} states that a contact structure is tight if and only if all its supporting open books are right-veering. We show a combinatorial way of detecting the left-veering arcs in open books, implying the existence of an algorithm that detects the right-veering property for compact surfaces with boundary.
Keywords
Cite
@article{arxiv.2310.02210,
title = {Detecting right-veering diffeomorphisms},
author = {Miguel Orbegozo Rodriguez},
journal= {arXiv preprint arXiv:2310.02210},
year = {2025}
}
Comments
Version accepted by Algebraic&Geometric Topology, includes new examples