Published May 12, 2008
| Submitted + Published
Journal Article
Open
On tight contact structures with negative maximal twisting number on small Seifert manifolds
- Creators
- Ghiggini, Paolo
Abstract
We study some properties of transverse contact structures on small Seifert manifolds, and we apply them to the classification of tight contact structures on a family of small Seifert manifolds.
Additional Information
© 2008 Algebraic & Geometric Topology. Received: 10 October 2007, Accepted: 28 November 2007, Published: 12 May 2008. During the final preparation of this article the author was supported by CIRGET and by the Chaire de Recherche du Canada en algèbre, combinatoire et informatique mathématique de l'UQAM. We warmly thank Paolo Lisca for sharing a preliminary version of his and Matíc's work on transverse contact structures on Seifert manifolds [15], András Stipsicz for his encouragement and for suggesting the statement of Theorem 1.3, and Hao Wu for sharing Figure 2. Some of the results in this paper have been independently obtained also by Patrick Massot [17]. We thank him for carefully reading the first version of this article and for suggesting several improvements.Attached Files
Published - Ghiggini2008p4727Algebr_Geom_Topol.pdf
Submitted - 0707.4494.pdf
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Ghiggini2008p4727Algebr_Geom_Topol.pdf
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Additional details
- Eprint ID
- 16045
- Resolver ID
- CaltechAUTHORS:20090924-201006156
- Centre Interuniversitaire de Recherches en Géométrie et Topologie
- Research Chairs Canada
- Created
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2009-09-25Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field