Classification of tight contact structures on small Seifert 3–manifolds with 𝑒₀≥0

DOI10.1090/S0002-9939-05-08013-5zbMath1090.57019arXivmath/0406080OpenAlexW1535696770MaRDI QIDQ5713213

Paolo Ghiggini, Paolo Lisca, András I. Stipsicz

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406080

zbMATH Keywords

contacttightlens spaceStein fillableSeifert fibered

Mathematics Subject Classification ID

Related Items (12)

Fillability of small Seifert fibered spaces ⋮ Planar open books, monodromy factorizations and symplectic fillings ⋮ Some applications of Menke’s JSJ decomposition for symplectic fillings ⋮ On tight contact structures with negative maximal twisting number on small Seifert manifolds ⋮ Seiberg-Witten Floer spectra and contact structures ⋮ Tight contact structures on some bounded Seifert manifolds with minimal convex boundary ⋮ Tight small Seifert fibered manifolds with \(e_0= -2\) ⋮ Classification of tight contact structures on small Seifert fibered \(L\)-spaces ⋮ Classification of tight contact structures on surgeries on the figure-eight knot ⋮ Infinitely many universally tight contact manifolds with trivial Ozsváth-Szabó contact invariants ⋮ On the existence of tight contact structures on Seifert fibered 3-manifolds ⋮ Tight contact structures on Seifert manifolds over \(T^2\) with one singular fibre

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• Tight contact structures and Seiberg-Witten invariants
• Three-dimensional contact structures and bifurcations of foliations of surfaces
• On the classification of tight contact structures. I
• On the classification of tight contact structures. II.
• Knots and contact geometry. I: Torus knots and the figure eight knot.
• LEGENDRIAN VERTICAL CIRCLES IN SMALL SEIFERT SPACES

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