Symplectic convexity in low-dimensional topology

DOI10.1016/S0166-8641(97)00196-XzbMath0930.53049OpenAlexW1987655880MaRDI QIDQ1295232

John B. Etnyre

Publication date: 15 February 2000

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00196-x

zbMATH Keywords

pseudoconvexitycontact manifoldsymplectic manifold\(\omega\)-convexitycut-and-paste constructionssymplectically fillable

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on low-dimensional manifolds (57M50)

Related Items

Relative symplectic caps, 4-genus and fibered knots ⋮ On symplectic fillings ⋮ Kähler decomposition of 4-manifolds ⋮ On 3-manifolds that are boundaries of exotic 4-manifolds ⋮ Symplectic hats ⋮ On the geography of Stein fillings of certain 3-manifolds ⋮ Using rational homology circles to construct rational homology balls ⋮ Strongly fillable contact manifolds and \(J\)-holomorphic foliations ⋮ Symplectic fillability of tight contact structures on torus bundles ⋮ Fillable contact structures on torus bundles over circles ⋮ A brief history of contact geometry and topology. ⋮ Generalized symplectic rational blowdowns ⋮ Embedding fillings of contact 3-manifolds ⋮ Contact structures on product five-manifolds and fibre sums along circles ⋮ Symplectic fillings and positive scalar curvature ⋮ Symplectic surgeries and normal surface singularities ⋮ Tight contact structures and Anosov flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some global properties of contact structures
• Applications of convex integration to symplectic and contact geometry
• Pseudo holomorphic curves in symplectic manifolds
• On Levi's problem and the imbedding of real-analytic manifolds
• Contact surgery and symplectic handlebodies
• Contact 3-manifolds twenty years since J. Martinet's work
• Structures de contact sur les fibrés principaux en cercles de dimension trois
• On the hypotheses of Rabinowitz' periodic orbit theorems
• Handlebody construction of Stein surfaces
• Symplectic normal connect sum
• Tight contact structures and Seiberg-Witten invariants
• Rational blowdowns of smooth 4-manifolds
• Classification of overtwisted contact structures on 3-manifolds
• Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities
• An obstruction to sliceness via contact geometry and ``classical gauge theory
• The Seiberg-Witten and Gromov invariants
• A new construction of symplectic manifolds
• Über Modifikationen und exzeptionelle analytische Mengen
• Symplectic manifolds and their Lagrangian submanifolds
• Symplectic manifolds with contact type boundaries
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
• Partial Differential Relations
• Une structure de contact, même tendue, est plus ou moins tordue
• Corrigenda to: Introduction to Symplectic Topology
• The Seiberg-Witten equations and 4-manifold topology
• On the Volume Elements on a Manifold