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On tight contact structures with negative maximal twisting number on small Seifert manifolds

Paolo Ghiggini
Algebraic & Geometric Topology 8 (2008) 381–396
DOI: 10.2140/agt.2008.8.381
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.

Keywords
transverse contact structure, small Seifert manifold, $L$–space
Mathematical Subject Classification 2000
Primary: 57M50, 57R17
References
Publication
Received: 10 October 2007
Accepted: 28 November 2007
Published: 12 May 2008
Authors
Paolo Ghiggini
Mathematics 280-37
California Institute of Technology
Pasadena, CA 91125