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On the classification of tight contact structures I

Ko Honda

Geometry & Topology 4 (2000) 309–368

Erratum: Geometry & Topology 5 (2001) 925–938

arXiv: math.DG/9910127

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 T2 × I.

Keywords
tight, contact structure, lens spaces, solid tori
Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 53C15
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Publication
Received: 6 October 2000
Accepted: 14 October 2000
Published: 14 October 2000
Proposed: Yasha Eliashberg
Seconded: Tomasz Mrowka, Joan Birman
Authors
Ko Honda
Mathematics Department
University of Georgia
Athens
Georgia 30602
USA
http://www.math.uga.edu/~honda/