Journal article
Comparing Bennequin-type inequalities
New York journal of mathematics, Vol.27, pp.124-140
01/01/2021
Abstract
The slice-Bennequin inequality gives an upper bound for the self-linking number of a knot in terms of its four-ball genus. The s-Bennequin and tau-Bennequin inequalities provide upper bounds on the self-linking number of a knot in terms of the Rasmussen s invariant and the Ozsvath-Szabo tau invariant. We exhibit examples in which the difference between self-linking number and four-ball genus grows arbitrarily large, whereas the s-Bennequin inequality and the tau-Bennequin inequality are both sharp.
Details
- Title: Subtitle
- Comparing Bennequin-type inequalities
- Creators
- Elaina Aceves - Univ Iowa, Dept Math, Iowa City, IA 52242 USAKeiko Kawamuro - Univ Iowa, Dept Math, Iowa City, IA 52242 USALinh Truong - Univ Michigan, Dept Math, Ann Arbor, MI 48103 USA
- Resource Type
- Journal article
- Publication Details
- New York journal of mathematics, Vol.27, pp.124-140
- Publisher
- ELECTRONIC JOURNALS PROJECT
- ISSN
- 1076-9803
- eISSN
- 1076-9803
- Number of pages
- 17
- Grant note
- Simons Foundation Collaboration Grants for Mathematicians Ford Foundation DMS-200553; DMS-2104309; DMS-2005450 / NSF; National Science Foundation (NSF)
- Language
- English
- Date published
- 01/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240765502771
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