On symplectic fillings

DOI10.2140/agt.2004.4.73zbMath1078.53074arXivmath/0312091OpenAlexW3101828465WikidataQ56485078 ScholiaQ56485078MaRDI QIDQ1880620

John B. Etnyre

Publication date: 30 September 2004

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312091

zbMATH Keywords

convexitycontact structuretightsymplectic filling

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on low-dimensional manifolds (57M50) Contact manifolds (general theory) (53D10)

Related Items

Making cobordisms symplectic, Relative symplectic caps, 4-genus and fibered knots, Witten's conjecture and Property P, Holomorphic disks and genus bounds, Symplectic fillings and cobordisms of lens spaces, Contact Structures and Geometric Topology, Four-dimensional symplectic cobordisms containing three-handles, On 3-manifolds that are boundaries of exotic 4-manifolds, Stability and existence of surfaces in symplectic 4-manifolds with \(b^+=1\), Khovanov module and the detection of unlinks, Taut foliations leafwise branch cover \(S^2\), Admissible transverse surgery does not preserve tightness, Knot Floer homology and rational surgeries, Symplectic hats, Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden, Reeb vector fields and open book decompositions, Contact surgery and symplectic caps, Contact Open Books and Symplectic Lefschetz Fibrations (Survey), An overview of knot Floer homology, A note on positive-definite, symplectic four-manifolds, THE SHARP ENERGY-CAPACITY INEQUALITY, Ozsváth-Szabó invariants and fillability of contact structures, Embedding fillings of contact 3-manifolds, A note on knot Floer homology of links, Surface singularities and planar contact structures, Contact Dehn surgery, symplectic fillings, and property P for knots, Heegaard Floer homology and contact structures, Symplectic boundary conditions and cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On symplectic cobordisms
• Pseudo holomorphic curves in symplectic manifolds
• On symplectic manifolds with some contact properties
• Contact surgery and symplectic handlebodies
• Contact 3-manifolds twenty years since J. Martinet's work
• Symplectic fillings and positive scalar curvature
• Handlebody construction of Stein surfaces
• Symplectic convexity in low-dimensional topology
• Tight contact structures and Seiberg-Witten invariants
• Monopoles and contact structures
• On the geography of Stein fillings of certain 3-manifolds
• An infinite family of tight, not semi-fillable contact three-manifolds
• Tight contact structures with no symplectic fillings.
• A few remarks about symplectic filling
• Witten's conjecture and Property P
• Holomorphic disks and genus bounds
• Simple singularities and topology of symplectically filling 4-manifold
• Symplectic manifolds with contact type boundaries
• Monopoles and lens space surgeries
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
• On the Existence of Contact Forms
• Explicit concave fillings of contact three-manifolds
• Symplectic fillability of tight contact structures on torus bundles