Geodesic
The self-linking number in annulus and pants open book decompositions
Kawamuro, Keiko1 ; Pavelescu, Elena2
1Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City IA 52242, USA
2Department of Mathematics, Rice University, 6100 Main St, Houston, TX 77005, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 553-585
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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.

DOI : 10.2140/agt.2011.11.553
Keywords: braid, transverse knots, self-linking number

Kawamuro, Keiko  1   ; Pavelescu, Elena  2

1 Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City IA 52242, USA
2 Department of Mathematics, Rice University, 6100 Main St, Houston, TX 77005, USA 
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Kawamuro, Keiko; Pavelescu, Elena. The self-linking number in annulus and pants open book decompositions. Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 553-585. doi: 10.2140/agt.2011.11.553

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