Geodesic
Quasi-right-veering braids and nonloose links
Ito, Tetsuya1 ; Kawamuro, Keiko2
1 Department of Mathematics, Kyoto University, Kyoto, Japan
2 Department of Mathematics, The University of Iowa, Iowa City, IA, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 2989-3032

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We introduce a notion of quasi-right-veering for closed braids, which plays an analogous role to right-veering for open books. We show that a transverse link K in a contact 3–manifold (M,ξ) is nonloose if and only if every braid representative of K with respect to every open book decomposition that supports (M,ξ) is quasi-right-veering. We also show that several definitions of right-veering closed braids are equivalent.

DOI : 10.2140/agt.2019.19.2989
Classification : 57M50, 57M27
Keywords: quasi-right-veering, loose transverse knots

Ito, Tetsuya 1 ; Kawamuro, Keiko 2

1 Department of Mathematics, Kyoto University, Kyoto, Japan
2 Department of Mathematics, The University of Iowa, Iowa City, IA, United States 
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Ito, Tetsuya; Kawamuro, Keiko. Quasi-right-veering braids and nonloose links. Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 2989-3032. doi: 10.2140/agt.2019.19.2989

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