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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060

On the classification of tight contact structures I

Ko Honda

Geometry & Topology 4 (2000) 309–368

DOI: 10.2140/gt.2000.4.309

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

Primary: 57M50

Secondary: 53C15

References
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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/