The Self-Linking Number in Annulus and Pants Open Book Decompositions
Geometric Topology
2014-03-21 v4 Symplectic Geometry
Abstract
We find a self-linking number formula for a given null-homologous transverse link in a contact manifold that is compatible with either an annulus or a pair of pants open book decomposition. It extends Bennequin's self-linking formula for a braid in the standard contact -sphere.
Keywords
Cite
@article{arxiv.0901.0414,
title = {The Self-Linking Number in Annulus and Pants Open Book Decompositions},
author = {Keiko Kawamuro and Elena Pavelescu},
journal= {arXiv preprint arXiv:0901.0414},
year = {2014}
}
Comments
28 pages, 27 figures