The Self-Linking Number in Annulus and Pants Open Book Decompositions

Details The Self-Linking Number in Annulus and Pants Open Book Decompositions The Self-Linking Number in Annulus and Pants Open Book Decompositions

2009-01-05

arxiv.org/abs/0901.0414v4

Mathematics

Geometric Topology

28 pages, 27 figures

Scientific paper

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.

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