On the classification of tight contact structures I
arXiv:math/9910127 · doi:10.2140/gt.2000.4.309
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