Contents Online
Mathematical Research Letters
Volume 19 (2012)
Number 1
The Self-Linking Number in Planar Open Book Decompositions
Pages: 41 – 58
DOI: https://dx.doi.org/10.4310/MRL.2012.v19.n1.a5
Author
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 formula for braids in the standard contact $3$-sphere.
Published 2 May 2012