Journal article icon

Journal article

Non-loose negative torus knots

Abstract:

We study Legendrian and transverse realizations of the negative torus knots T(p,−q) in all contact structures on the 3-sphere. We give a complete classification of the strongly non-loose transverse realizations and the strongly non-loose Legendrian realizations with the Thurston-Bennequin invariant smaller than −pq. Additionally, we look at the Legendrian invariants of these knots in the minus version of the knot Floer homology, obtaining that U · L(L) vanishes for any Legendrian negative tor...

Expand abstract
Publication status:
Accepted
Peer review status:
Peer reviewed

Actions


Authors


More by this author
Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-4378-1797
European Research Council More from this funder
Publisher:
European Mathematical Society Publisher's website
Journal:
Quantum Topology Journal website
Acceptance date:
2021-02-21
EISSN:
1664-073X
ISSN:
1663-487X
Language:
English
Keywords:
Pubs id:
1166349
Local pid:
pubs:1166349
Deposit date:
2021-03-07

Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP