On fillable contact structures up to homotopy

DOI10.1090/S0002-9939-01-05964-0zbMath0971.57033OpenAlexW1596879507MaRDI QIDQ2731942

Paolo Lisca

Publication date: 30 July 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05964-0

zbMATH Keywords

Seiberg-Witten equations\(\text{Spin}^c\) structuresymplectic fillinghomotopic contact structures

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) General geometric structures on low-dimensional manifolds (57M50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (2)

Seifert fibered contact three-manifolds via surgery ⋮ On handlebody structures of rational balls

Cites Work

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• Contact 3-manifolds twenty years since J. Martinet's work
• Symplectic fillings and positive scalar curvature
• Handlebody construction of Stein surfaces
• Monopoles and contact structures
• Torsion invariants of Spin\(^c\)-structures on 3-manifolds
• Classification of overtwisted contact structures on 3-manifolds
• TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2

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