Algebraic & Geometric Topology 11 (2011) 553–585

DOI: 10.2140/agt.2011.11.553

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 3–sphere.

Keywords

braid, transverse knots, self-linking number

Mathematical Subject Classification

Primary: 57M25, 57M27

Secondary: 57M50

References

Publication

Received: 8 November 2009
Revised: 6 October 2010
Accepted: 24 October 2010
Published: 15 February 2011

Authors