Journal article
Quasi-right-veering braids and nonloose links
Algebraic & geometric topology, Vol.19(6), pp.2989-3032
01/01/2019
DOI: 10.2140/agt.2019.19.2989
Abstract
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, xi) is nonloose if and only if every braid representative of K with respect to every open book decomposition that supports (M, xi) is quasi-right-veering. We also show that several definitions of right-veering closed braids are equivalent.
Details
- Title: Subtitle
- Quasi-right-veering braids and nonloose links
- Creators
- Tetsuya Ito - Kyoto UniversityKeiko Kawamuro - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Algebraic & geometric topology, Vol.19(6), pp.2989-3032
- DOI
- 10.2140/agt.2019.19.2989
- ISSN
- 1472-2739
- eISSN
- 1472-2739
- Publisher
- GEOMETRY & TOPOLOGY PUBLICATIONS
- Number of pages
- 44
- Grant note
- DMS-1206770 / NSF Simons Foundation Collaboration Grants for Mathematicians 15K17540; 16H02145 / JSPS KAKENHI
- Language
- English
- Date published
- 01/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241157902771
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