The Self-Linking Number in Planar Open Book Decompositions
Geometric Topology
2012-01-30 v3
Abstract
We construct a Seifert surface for a given null-homologous transverse link in a contact manifold that is compatible with a planar open book decomposition, then obtain a formula of the self-linking number. It extends Bennequin's self-linking number formula for braids in the standard contact 3-sphere.
Keywords
Cite
@article{arxiv.1103.1088,
title = {The Self-Linking Number in Planar Open Book Decompositions},
author = {Keiko Kawamuro},
journal= {arXiv preprint arXiv:1103.1088},
year = {2012}
}
Comments
This version has been accepted by Mathematical Research Letters. 20 pages, 16 figures