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Quasi right-veering braids and non-loose links

Authors
  • Ito, Tetsuya
  • Kawamuro, Keiko
Type
Preprint
Publication Date
Mar 24, 2016
Submission Date
Jan 26, 2016
Identifiers
arXiv ID: 1601.07084
Source
arXiv
License
Yellow
External links

Abstract

We introduce a notion of "quasi right-veering" for closed braids, which plays an analogous role to "right-veering" for abstract open books. We show that a transverse link is non-loose if and only if every closed braid representative with respect to an arbitrary open book decomposition of the underlying contact 3-manifold is quasi-right veering. We also show that several definitions for a "right-veering" closed braid are equivalent.

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