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Tight contact structures on Seifert manifolds over $T^2$ with one singular fibre

Paolo Ghiggini

Algebraic & Geometric Topology 5 (2005) 785–833

arXiv: math.GT/0307340

Abstract

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

Keywords
contact structure, tight, Seifert $3$–manifold, convex surface
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57M50
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Publication
Received: 27 October 2003
Revised: 14 July 2005
Accepted: 24 January 2005
Published: 24 July 2005
Authors
Paolo Ghiggini
Dipartimento di Matematica “L Tonelli”
Università di Pisa
Largo Pontecorvo 5
I–56127 Pisa
Italy