A Transverse Braiding Theorem with Rational Open Book Decomposition

By generalizing the argument of Pavelescu \cite{Pav12}, we show that every transverse link $ K $ in a compact contact 3-manifold can be transversely isotoped to a braid with respect to a rational open book decomposition.

Publication Details

Journal
ArXiv.org
Published
2025-03-23
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

A Transverse Braiding Theorem with Rational Open Book Decomposition

ArXiv.org
Geometric and Algebraic Topology
article

A Transverse Braiding Theorem with Rational Open Book Decomposition

article en

Abstract

By generalizing the argument of Pavelescu \cite{Pav12}, we show that every transverse link $ K $ in a compact contact 3-manifold can be transversely isotoped to a braid with respect to a rational open book decomposition.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Geometric and Algebraic Topology
Open Access PDFOpenAlex
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A Transverse Braiding Theorem with Rational Open Book Decomposition · ArXiv.org (2025) | TGRS Research Map | TGRS