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arXiv · 0901.0414

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

Keiko Kawamuro·Elena Pavelescu
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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.

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Keiko Kawamuro, Elena Pavelescu. 2010-11-30. The Self-Linking Number in Annulus and Pants Open Book Decompositions. https://doi.org/10.2140/agt.2011.11.553

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