Heegaard Floer homology and contact structures
From MaRDI portal
Publication:2566602
DOI10.1215/S0012-7094-04-12912-4zbMath1083.57042arXivmath/0210127OpenAlexW2032446756MaRDI QIDQ2566602
Zoltán Szabó, Peter S. Ozsváth
Publication date: 26 September 2005
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210127
Symplectic and contact topology in high or arbitrary dimension (57R17) Contact manifolds (general theory) (53D10) Floer homology (57R58)
Related Items (only showing first 100 items - show all)
Instanton Floer homology and contact structures ⋮ Seifert fibered contact three-manifolds via surgery ⋮ Bounds for the Thurston-Bennequin number from Floer homology ⋮ Holomorphic disks and genus bounds ⋮ Ozsváth-Szabó invariants and tight contact three-manifolds; I ⋮ Contact Structures and Geometric Topology ⋮ A note on the knot Floer homology of fibered knots ⋮ Braid monodromy, orderings and transverse invariants ⋮ 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 ⋮ Tight contact structures on the Brieskorn spheres \(-\Sigma(2,3,6n-1)\) and contact invariants ⋮ Tight planar contact manifolds with vanishing Heegaard Floer contact invariants ⋮ Strongly fillable contact 3-manifolds without Stein fillings ⋮ Holomorphic discs and sutured manifolds ⋮ Towards a good definition of algebraically overtwisted ⋮ Introduction to the basics of Heegaard Floer homology ⋮ A categorification of the Alexander polynomial in embedded contact homology ⋮ Twisty itsy bitsy topological field theory ⋮ On 3-manifolds that are boundaries of exotic 4-manifolds ⋮ Khovanov homology, sutured Floer homology and annular links ⋮ Chord diagrams, contact-topological quantum field theory and contact categories ⋮ Khovanov module and the detection of unlinks ⋮ Admissible transverse surgery does not preserve tightness ⋮ Floer homology and fractional Dehn twists ⋮ Contact Invariants in Floer Homology ⋮ A bound for rational Thurston-Bennequin invariants ⋮ Contact (+1)-surgeries along Legendrian two-component links ⋮ Legendrian knots, transverse knots and combinatorial Floer homology ⋮ On knot Floer homology in double branched covers ⋮ Planar open books with four binding components ⋮ Contact Open Books and Symplectic Lefschetz Fibrations (Survey) ⋮ Combinatorial Heegaard Floer homology and nice Heegaard diagrams ⋮ Khovanov-Seidel quiver algebras and bordered Floer homology ⋮ On contact surgery ⋮ Contact structures on AR-singularity links ⋮ Sutured Floer homology, sutured TQFT and noncommutative QFT ⋮ Infinitely many universally tight torsion free contact structures with vanishing Ozsváth-Szabó contact invariants ⋮ Dehn surgery, rational open books and knot floer homology ⋮ On the equivalence of Legendrian and transverse invariants in knot Floer homology ⋮ Tight contact structures via admissible transverse surgery ⋮ Heegaard Floer homology and alternating knots ⋮ On the non-existence of L-space surgery structure ⋮ Planar open book decompositions of 3-manifolds ⋮ An Ozsváth-Szabó Floer homology invariant of knots in a contact manifold ⋮ Knot Floer homology detects fibred knots ⋮ Tight contact structures and genus one fibered knots ⋮ A combinatorial description of the Heegaard Floer contact invariant ⋮ Contact Ozsváth-Szabó invariants and Giroux torsion ⋮ Product formulae for Ozsváth-Szabó 4-manifold invariants ⋮ THE SUPPORT GENERA OF CERTAIN LEGENDRIAN KNOTS ⋮ Tight small Seifert fibered manifolds with \(e_0= -2\) ⋮ On the geography and botany of knot Floer homology ⋮ Tour of bordered Floer theory ⋮ Classification of tight contact structures on small Seifert fibered \(L\)-spaces ⋮ ON KNOT FLOER HOMOLOGY FOR SOME FIBERED KNOTS ⋮ NOTIONS OF POSITIVITY AND THE OZSVÁTH–SZABÓ CONCORDANCE INVARIANT ⋮ Heegaard Floer invariants of contact structures on links of surface singularities ⋮ Contact surgeries and the transverse invariant in knot Floer homology ⋮ Link Floer homology and the Thurston norm ⋮ Classification of tight contact structures on surgeries on the figure-eight knot ⋮ A CONTACT INVARIANT IN SUTURED MONOPOLE HOMOLOGY ⋮ Dehn twists in Heegaard Floer homology ⋮ Ozsváth-Szabó invariants of contact surgeries ⋮ Ozsváth-Szabó invariants and fillability of contact structures ⋮ Sutured Heegaard diagrams for knots ⋮ Contact structures on plumbed 3-manifolds ⋮ Manifolds with small Heegaard Floer ranks ⋮ Khovanov homology, open books, and tight contact structures ⋮ Rounding corners of polygons and the embedded contact homology of \(T^3\) ⋮ Infinitely many universally tight contact manifolds with trivial Ozsváth-Szabó contact invariants ⋮ A note on knot Floer homology of links ⋮ A cylindrical reformulation of Heegaard Floer homology ⋮ A categorification of \(\mathbf{U}_T(\mathfrak{sl}(1|1))\) and its tensor product representations ⋮ Perturbed Floer homology of some fibered three-manifolds ⋮ Stein fillable contact 3-manifolds and positive open books of genus one ⋮ Itsy bitsy topological field theory ⋮ On the equivalence of contact invariants in sutured Floer homology theories ⋮ Transverse Surgery on Knots in Contact 3-Manifolds ⋮ Introduction to Heegaard Floer homology ⋮ A survey of symplectic and contact topology ⋮ Transverse invariants and exotic surfaces in the \(4\)-ball ⋮ Persistently foliar composite knots ⋮ On the existence of tight contact structures on Seifert fibered 3-manifolds ⋮ LEGENDRIAN VERTICAL CIRCLES IN SMALL SEIFERT SPACES ⋮ The contact invariant in sutured Floer homology ⋮ An Elementary Fact About Unlinked Braid Closures ⋮ Stein domains in \(\mathbb{C}^2\) with prescribed boundary ⋮ Heegard Floer invariants of Legendrian knots in contact three-manifolds ⋮ Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot ⋮ Null surgery on knots in L-spaces ⋮ Naturality of the contact invariant in monopole Floer homology under strong symplectic cobordisms ⋮ Heegaard Floer homology and genus one, one-boundary component open books ⋮ Overtwisted discs in planar open books ⋮ Longitude Floer homology and the Whitehead double ⋮ SUTURED TQFT, TORSION AND TORI ⋮ Knot Floer homology and relative adjunction inequalities ⋮ Nonlooseness of nonloose knots ⋮ Floer theory and its topological applications ⋮ On contact type hypersurfaces in 4-space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some global properties of contact structures
- Ozsváth-Szabó invariants and tight contact three-manifolds. II
- Pseudo holomorphic curves in symplectic manifolds
- Monopoles and contact structures
- Scalar curvature and the Thurston norm
- Heegaard Floer homology and alternating knots
- Holomorphic disks and topological invariants for closed three-manifolds
- Holomorphic disks and three-manifold invariants: properties and applications
- Classification of overtwisted contact structures on 3-manifolds
- On symplectic fillings
- Holomorphic triangle invariants and the topology of symplectic four-manifolds
- Holomorphic disks and knot invariants
- A few remarks about symplectic filling
- Holomorphic disks and genus bounds
- Ozsváth-Szabó invariants and tight contact three-manifolds; I
- Holomorphic triangles and invariants for smooth four-manifolds
- On the Existence of Contact Forms
This page was built for publication: Heegaard Floer homology and contact structures
