The Self-Linking Number in Planar Open Book Decompositions

Details The Self-Linking Number in Planar Open Book Decompositions The Self-Linking Number in Planar Open Book Decompositions

2011-03-05

arxiv.org/abs/1103.1088v3

Mathematics

Geometric Topology

This version has been accepted by Mathematical Research Letters. 20 pages, 16 figures

Scientific paper

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 number formula for braids in the standard contact 3-sphere.

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