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On the classification of tight contact structures. II. (English) Zbl 1038.57007
The author continues his work on the classification of tight contact structures. In this paper, he applies the techniques developed in Part I [Geom. Topol. 4, 309–368 (2000; Zbl 0980.57010)]. Please see the review of that paper for a rough idea of the techniques and the proof. In Part II (the current paper), the author deals with two classes of 3-manifolds: torus bundles over the circle and circle bundles over closed surfaces.

MSC:
57R17 Symplectic and contact topology in high or arbitrary dimension
53D35 Global theory of symplectic and contact manifolds
57M50 General geometric structures on low-dimensional manifolds
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