On the classification of tight contact structures I

1999/10/31 by Ko Honda · 5 citations
Mathematics · #math.DG #math.GT #msc:57M50 #msc:53C15

paper · pdf · doi:10.2140/gt.2000.4.309

published as Geom. Topol. 4 (2000) 309-368 · 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

arxiv created 2001/11/29 · arxiv updated 2014/11/11

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 X I. Erratum: In this note we seek to remedy errors which appeared in version 2 and were propagated in subsequent papers.

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