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Twist left-veering open books, overtwistedness, looseness and virtual looseness

2019/09/13 by Tetsuya Ito, Ito, Tetsuya, Keiko Kawamuro +1
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1909.05993

openalex publication_date 2019/09/13 · openalex created_date 2020/04/24 · openalex updated_date 2026/07/28

Abstract

We introduce twist left-veering mapping classes of punctured surfaces. We prove that a twist left-veering open book supports an overtwisted contact structure and determine when the closed braid coming from the punctures is loose or virtually loose.

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