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The self-linking number in planar open book decompositions
Journal article   Open access  Peer reviewed

The self-linking number in planar open book decompositions

Keiko Kawamuro
Mathematical research letters, Vol.19(1), pp.41-58
2012
DOI: 10.4310/MRL.2012.v19.n1.a5
url
https://doi.org/10.4310/MRL.2012.v19.n1.a5View
Published (Version of record) Open Access

Abstract

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 formula for braids in the standard contact 3-sphere.

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