Ozsváth-Szabó invariants and tight contact three-manifolds; I

DOI10.2140/gt.2004.8.925zbMath1059.57017arXivmath/0404135OpenAlexW2145994996MaRDI QIDQ1882837

Paolo Lisca, András I. Stipsicz

Publication date: 1 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0404135

zbMATH Keywords

tightOzsváth-Szabó invariantsfillable contact structures

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) General geometric structures on low-dimensional manifolds (57M50)

Related Items (28)

Khovanov homology detects the trefoils ⋮ Bounds for the Thurston-Bennequin number from Floer homology ⋮ Open book decompositions of links of quotient surface singularities and support genus problem ⋮ Tight contact structures on the Brieskorn spheres \(-\Sigma(2,3,6n-1)\) and contact invariants ⋮ SYMMETRIES AND ADJUNCTION INEQUALITIES FOR KNOT FLOER HOMOLOGY ⋮ Hyperbolic 3-manifolds admitting no fillable contact structures ⋮ Dehn surgeries and negative-definite four-manifolds ⋮ Contact (+1)-surgeries along Legendrian two-component links ⋮ Combinatorial Reeb dynamics on punctured contact 3-manifolds ⋮ On naturality of the Ozsváth-Szabó contact invariant ⋮ Monopole Floer homology and Legendrian knots ⋮ Stein fillable Seifert fibered 3-manifolds ⋮ On contact surgery ⋮ On the \overline{𝜇}–invariant of rational surface singularities ⋮ A combinatorial description of the Heegaard Floer contact invariant ⋮ Dehn twists in Heegaard Floer homology ⋮ Ozsváth-Szabó invariants of contact surgeries ⋮ Ozsváth-Szabó invariants and fillability of contact structures ⋮ Infinitely many universally tight contact manifolds with trivial Ozsváth-Szabó contact invariants ⋮ Maximal Thurston-Bennequin numbers of alternating links ⋮ Triple products and cohomological invariants for closed 3-manifolds ⋮ Handle moves in contact surgery diagrams ⋮ Transverse Surgery on Knots in Contact 3-Manifolds ⋮ On the existence of tight contact structures on Seifert fibered 3-manifolds ⋮ Heegaard Floer homology and contact structures ⋮ Distinguishing topologically and smoothly doubly slice knots ⋮ Nonlooseness of nonloose knots ⋮ CONTACT SURGERY GRAPHS

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