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Detecting right-veering diffeomorphisms

2023/10/03 by Rodriguez, Miguel Orbegozo
#57K20 #57K33 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2310.02210

Abstract

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.

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