Geometry & Topology, Vol. 4 (2000) Paper no. 11, pages 309--368.

On the classification of tight contact structures I

Ko Honda

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$.

Keywords. Tight, contact structure, lens spaces, solid tori

AMS subject classification. Primary: 57M50. Secondary: 53C15.

DOI: 10.2140/gt.2000.4.309

E-print: arXiv:math.DG/9910127

Submitted to GT on 6 October 2000. Paper accepted 14 October 2000. Paper published 14 October 2000.

Note: (25 October 2001) There are errors in this paper. The two incorrect statements are Proposition 5.8 and Part I of Theorem 2.2 which is a corollary of 5.8.
The author has supplied an erratum which precisely describes the mistake and discusses what can be salvaged and what cannot.
The erratum can be downloaded (see below) and should be read alongside the paper.

Notes on file formats

Erratum:

Ko Honda
Mathematics Department, University of Georgia Athens, GA 30602, USA
Email: honda@math.uga.edu
URL: http://www.math.uga.edu/~honda
GT home page
EMIS/ELibM Electronic Journals

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