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Detecting right-veering diffeomorphisms (2310.02210v3)
Published 3 Oct 2023 in math.GT
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.
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