Tight contact structures on Seifert manifolds over T2 with one singular fibre

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The Journal

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Algebraic & Geometric Topology 5 (2005) 785–833

DOI: 10.2140/agt.2005.5.785

In this article we classify up to isotopy tight contact structures on Seifert manifolds over the torus with one singular fibre.

contact structure, tight, Seifert $3$–manifold, convex surface

Primary: 57R17

Secondary: 57M50

Received: 27 October 2003

Revised: 14 July 2005

Accepted: 24 January 2005

Published: 24 July 2005

Paolo Ghiggini
Dipartimento di Matematica “L Tonelli” Università di Pisa Largo Pontecorvo 5 I–56127 Pisa Italy