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Coverings of open books

2015/09/01 by Tetsuya Ito, Ito, Tetsuya, Keiko Kawamuro +1
Engineering · Mathematics · #57M25 #57M27 #57M50 #Adhesion, Friction, and Surface Interactions #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1509.00352

openalex publication_date 2015/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a coverings of open books and virtually overtwisted contact manifolds using open book foliations. We show that open book coverings produces interesting examples such as transverse knots with depth grater than 1. We also demonstrate explicit examples of virtually overtwisted open books.

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