On the classification of tight contact structures I

Abstract

We develop new techniques in the theory of convex surfaces to prove complete classification results for tight contact structures on lens spaces, solid tori, and T^2 X I. Erratum: In this note we seek to remedy errors which appeared in version 2 and were propagated in subsequent papers.

Published in Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper11.abs.html Version 3 finishes with a substantial erratum to version 2

References in corpus (3)

• On the classification of tight contact structures I
• Structures de contact en dimension trois et bifurcations des feuilletages de surfaces
• Transversal torus knots

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