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

Ghiggini, Paolo

doi:10.2140/agt.2008.8.381

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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

Volume 8, issue 1 (2008)