Volume 11, issue 1 (2011)

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The self-linking number in annulus and pants open book decompositions

Keiko Kawamuro and Elena Pavelescu

Algebraic & Geometric Topology 11 (2011) 553–585
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.