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On the classification of tight contact structures I
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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.
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Cited by 2 Pith papers
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Convex hypersurfaces and robust heterodimensional dynamics
Any closed orientable hypersurface in a contact manifold of dimension ≥5 is isotopic via a C^{0}-small isotopy to a C^{2}-robustly non-convex hypersurface.
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Conformally symplectic topology from a dynamical viewpoint
Characteristic foliations of contact Hamiltonian manifolds determine convexity of hypersurfaces, with Morse-Smale implying convexity, C0-density of convex hypersurfaces, and C2-robust non-convex examples in dimensions ≥5.
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