The contact invariant in sutured Floer homology
From MaRDI portal
Publication:1030526
DOI10.1007/s00222-008-0173-3zbMath1171.57031arXiv0705.2828OpenAlexW2062677743MaRDI QIDQ1030526
Ko Honda, William H. Kazez, Gordana Matić
Publication date: 1 July 2009
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.2828
Symplectic and contact topology in high or arbitrary dimension (57R17) General geometric structures on low-dimensional manifolds (57M50) Contact manifolds (general theory) (53D10) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)
Related Items
Khovanov homology detects the trefoils ⋮ Instanton Floer homology and contact structures ⋮ Spectral order for contact manifolds with convex boundary ⋮ Cobordisms of sutured manifolds and the functoriality of link Floer homology ⋮ Strand algebras and contact categories ⋮ A combinatorial description of the LOSS Legendrian knot invariant ⋮ Twisty itsy bitsy topological field theory ⋮ Chord diagrams, contact-topological quantum field theory and contact categories ⋮ Contact handles, duality, and sutured Floer homology ⋮ Framed instanton homology of surgeries on L-space knots ⋮ Comparing invariants of Legendrian knots ⋮ Contact Invariants in Floer Homology ⋮ Bordered Floer homology and contact structures ⋮ Contact topology and holomorphic invariants via elementary combinatorics ⋮ A friendly introduction to the bordered contact invariant ⋮ On naturality of the Ozsváth-Szabó contact invariant ⋮ Morse foliated open books and right-veering monodromies ⋮ Contact handle decompositions ⋮ Filtering the Heegaard Floer contact invariant ⋮ Infinitely many universally tight torsion free contact structures with vanishing Ozsváth-Szabó contact invariants ⋮ Contact Ozsváth-Szabó invariants and Giroux torsion ⋮ Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT ⋮ Contact surgeries and the transverse invariant in knot Floer homology ⋮ A CONTACT INVARIANT IN SUTURED MONOPOLE HOMOLOGY ⋮ Dehn twists in Heegaard Floer homology ⋮ Ozsváth-Szabó invariants of contact surgeries ⋮ A categorification of \(\mathbf{U}_T(\mathfrak{sl}(1|1))\) and its tensor product representations ⋮ Itsy bitsy topological field theory ⋮ An exposition of the equivalence of Heegaard Floer homology and embedded contact homology ⋮ On the equivalence of contact invariants in sutured Floer homology theories ⋮ Quasipositive links and Stein surfaces ⋮ Transverse invariants and exotic surfaces in the \(4\)-ball ⋮ Persistently foliar composite knots ⋮ Gluing maps and cobordism maps in sutured monopole and instanton Floer theories ⋮ The contact invariant in sutured Floer homology ⋮ Heegard Floer invariants of Legendrian knots in contact three-manifolds ⋮ SUTURED TQFT, TORSION AND TORI ⋮ Sutured Floer homology and invariants of Legendrian and transverse knots
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the contact class in Heegaard Floer homology
- Holomorphic discs and sutured manifolds
- Comultiplicativity of the Ozsváth-Szabó contact invariant
- On invariants for Legendrian knots
- An algorithm for computing some Heegaard Floer homologies
- The contact invariant in sutured Floer homology
- Heegard Floer invariants of Legendrian knots in contact three-manifolds
- Convexité en topologie de contact. (Convexity in contact topology)
- Heegaard splitting for sutured manifolds and Murasugi sum
- Three-dimensional contact structures and bifurcations of foliations of surfaces
- On the classification of tight contact structures. I
- Holomorphic disks and topological invariants for closed three-manifolds
- Holomorphic disks and three-manifold invariants: properties and applications
- Gluing tight contact structures
- Right-veering diffeomorphisms of compact surfaces with boundary
- Legendrian knots, transverse knots and combinatorial Floer homology
- A combinatorial description of the Heegaard Floer contact invariant
- Floer homology and surface decompositions
- Holomorphic triangles and invariants for smooth four-manifolds
- A cylindrical reformulation of Heegaard Floer homology
- Heegaard Floer homology and contact structures
- Link Floer homology and the Thurston norm
- Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology
- Recollement de variétés de contact tendues
- Foliations and the topology of 3-manifolds
