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...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
European Research Council
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Bibliographic Details
- Publisher:
- European Mathematical Society Publisher's website
- Journal:
- Quantum Topology Journal website
- Volume:
- 13
- Issue:
- 4
- Pages:
- 669–689
- Publication date:
- 2023-01-27
- Acceptance date:
- 2021-02-21
- DOI:
- EISSN:
-
1664-073X
- ISSN:
-
1663-487X
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1166349
- Local pid:
- pubs:1166349
- Deposit date:
- 2021-03-07
Terms of use
- Copyright holder:
- European Mathematical Society
- Copyright date:
- 2023
- Rights statement:
- © 2023 European Mathematical Society Published by EMS Press This work is licensed under a CC BY 4.0 license
- Licence:
- CC Attribution (CC BY)
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