On the classification of tight contact structures I

Ko Honda

doi:10.2140/gt.2000.4.309

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Home > Journals > Geom. Topol. > Volume 4 > Issue 1 > Article

2000 On the classification of tight contact structures I

Ko Honda

Geom. Topol. 4(1): 309-368 (2000). DOI: 10.2140/gt.2000.4.309

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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 $T^{2} \times I$ .