Journal article
The Defect of the Bennequin-Eliashberg Inequality and Bennequin Surfaces
Indiana University mathematics journal, Vol.68(3), pp.799-833
01/01/2019
DOI: 10.1512/iumj.2019.68.7662
Abstract
For a null-homologous transverse link T in a general contact manifold with an open book, we explore strongly quasipositive braids and Bennequin surfaces. We define the defect delta (T) of the Bennequin-Eliashberg inequality.
We study relations between delta (T) and minimal genus Bennequin surfaces of T. In particular, in the disk open book case, under some large fractional Dehn twist coefficient assumption, we show that delta (T) = N if and only if T is the boundary of a Bennequin surface with exactly N negatively twisted bands. That is, the Bennequin inequality is sharp if and only if it is the closure of a strongly quasipositive braid.
Details
- Title: Subtitle
- The Defect of the Bennequin-Eliashberg Inequality and Bennequin Surfaces
- Creators
- Tetsuya Ito - Kyoto UniversityKeiko Kawamuro - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Indiana University mathematics journal, Vol.68(3), pp.799-833
- DOI
- 10.1512/iumj.2019.68.7662
- ISSN
- 0022-2518
- eISSN
- 1943-5258
- Publisher
- INDIANA UNIV MATH JOURNAL
- Number of pages
- 35
- Grant note
- DMS-1206770 / National Science Foundation Simons Foundation Collaboration Grants for Mathematicians 15K17540 / JSPS
- Language
- English
- Date published
- 01/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240764002771
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