Journal article
Positivities of Knots and Links and the Defect of Bennequin Inequality
Experimental mathematics, Vol.31(1), pp.199-225
01/02/2022
DOI: 10.1080/10586458.2019.1596848
Abstract
We discuss relations among various positivities of knots and links, such as strong quasipositivity and quasipositivity. We give several pieces of supporting evidence for conjectural statements concerning these positivities and the defect of Bennequin inequality. Finally, we determine strong quasipositivity and quasipositivity for knots up to 12 crossings (with two exceptions for quasipositivity).
Details
- Title: Subtitle
- Positivities of Knots and Links and the Defect of Bennequin Inequality
- Creators
- Jesse Hamer - University of IowaTetsuya Ito - Kyoto UniversityKeiko Kawamuro - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Experimental mathematics, Vol.31(1), pp.199-225
- DOI
- 10.1080/10586458.2019.1596848
- ISSN
- 1058-6458
- eISSN
- 1944-950X
- Publisher
- Taylor & Francis
- Grant note
- name: University of Iowa’s Ballard and Seashore Dissertation Fellowship; name: JSPS Grant-in-Aid for Young Scientists, award: 15K17540; name: NSF, award: DMS-1206770; name: Simons Foundation Collaboration Grants for Mathematicians
- Language
- English
- Date published
- 01/02/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984240769902771
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