English

On the classification of tight contact structures I

Differential Geometry 2014-11-11 v3 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/9910127,
  title  = {On the classification of tight contact structures I},
  author = {Ko Honda},
  journal= {arXiv preprint arXiv:math/9910127},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T18:04:53.724Z