On the fractional Dehn twist coefficients of branched coverings

2018/07/12 by Tetsuya Ito, Ito, Tetsuya, Keiko Kawamuro +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1807.04398

openalex publication_date 2018/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss how the fractional Dehn twist coefficient behaves under a fully ramified branched covering of an open book, and give applications to both topological and contact 3-manifolds. Among them, we show that non-right-veering closed braids represent virtually loose transverse links.

Citations

• Concordance homomorphisms from knot Floer homology

Cited by

• Examples of non-minimal open books with high fractional Dehn twist coefficient

Related

• Essential open book foliation and fractional Dehn twist coefficient
• Examples of non-minimal open books with high fractional Dehn twist coefficient
• Floer homology, twist coefficients, and capping off
• Floer Homology and Fractional Dehn Twists
• Cusp shape and fractional Dehn twists of fibred hyperbolic 3-manifolds