Detecting right-veering diffeomorphisms

Fuente: arXiv
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Autor principal: Rodriguez, Miguel Orbegozo
Formato: Preprint
Publicado: 2023
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_version_ 1866918013403398144
author Rodriguez, Miguel Orbegozo
author_facet Rodriguez, Miguel Orbegozo
contents A result of Honda, Kazez, and Matić 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_02210
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Detecting right-veering diffeomorphisms
Rodriguez, Miguel Orbegozo
Geometric Topology
57K20, 57K33
A result of Honda, Kazez, and Matić 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.
title Detecting right-veering diffeomorphisms
topic Geometric Topology
57K20, 57K33
url https://arxiv.org/abs/2310.02210