English

A Transverse Braiding Theorem with Rational Open Book Decomposition

Geometric Topology 2025-03-25 v1

Abstract

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

Keywords

Cite

@article{arxiv.2503.18106,
  title  = {A Transverse Braiding Theorem with Rational Open Book Decomposition},
  author = {Ivan So},
  journal= {arXiv preprint arXiv:2503.18106},
  year   = {2025}
}

Comments

5 pages, 1 figure. Comments are welcome!

R2 v1 2026-06-28T22:31:25.082Z