Gluing tight contact structures
From MaRDI portal
Publication:1860987
DOI10.1215/S0012-7094-02-11532-4zbMath1026.53049arXivmath/0102029MaRDI QIDQ1860987
Publication date: 14 December 2003
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0102029
Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35)
Related Items
Contact Structures and Geometric Topology, Strand algebras and contact categories, Right-veering diffeomorphisms of compact surfaces with boundary, Chord diagrams, contact-topological quantum field theory and contact categories, Admissible transverse surgery does not preserve tightness, Instanton Floer homology, sutures, and Heegaard diagrams, Quasipositive surfaces and decomposable Lagrangians, The cosmetic crossing conjecture for split links, On tight contact structures with negative maximal twisting number on small Seifert manifolds, Combinatorial Reeb dynamics on punctured contact 3-manifolds, Cabling Legendrian and transverse knots, LEGENDRIAN SURGERY IS NOT CATEGORY-PRESERVING FOR TIGHT CONTACT STRUCTURES, Tightness is preserved by Legendrian surgery, A-infinity algebras, strand algebras, and contact categories, Geodesible contact structures on 3-manifolds, A graph TQFT for hat Heegaard Floer homology, Classification of tight contact structures on surgeries on the figure-eight knot, A class of tight contact structures on \(\Sigma_2 \times I\), Legendrian knots and monopoles, A categorification of \(\mathbf{U}_T(\mathfrak{sl}(1|1))\) and its tensor product representations, The contact invariant in sutured Floer homology, Tight contact structures and taut foliations, Tight contact structures on Seifert manifolds over \(T^2\) with one singular fibre, On the classification of tight contact structures. I, Controlled constructions of Reeb fields and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pseudo holomorphic curves in symplectic manifolds
- Convexité en topologie de contact. (Convexity in contact topology)
- Contact 3-manifolds twenty years since J. Martinet's work
- On the Thurston-Bennequin invariant of Legendrian knots and non exactness of Bennequin's inequality
- Symplectic fillings and positive scalar curvature
- Handlebody construction of Stein surfaces
- Stein \(4\)-manifolds with boundary and contact structures
- The classification of tight contact structures on the 3-torus
- Three-dimensional contact structures and bifurcations of foliations of surfaces
- Tight contact structures and taut foliations
- On the classification of tight contact structures. I
- On the classification of tight contact structures. II.
- Classification of overtwisted contact structures on 3-manifolds
- TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
- Chirurgies d'indice un et isotopies de sphères dans les variétés de contact tendues
- Recollement de variétés de contact tendues
- Foliations and the topology of 3-manifolds
- Admissible Dehn surgeries in tight contact manifolds.