Ozsváth-Szabó and Rasmussen invariants of doubled knots

DOI10.2140/agt.2006.6.651zbMath1096.57010arXivmath/0505361OpenAlexW3098991535MaRDI QIDQ2492045

Charles Livingston, Swatee Naik

Publication date: 1 June 2006

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

Full work available at URL: https://arxiv.org/abs/math/0505361

zbMATH Keywords

Thurston-Bennequin numberknot concordanceRasmussen invariantOzsváth-Szabó invariantknot genus4-ball genus

Mathematics Subject Classification ID

Related Items (20)

On classical upper bounds for slice genera ⋮ Inequality on $t_\nu (K)$ defined by Livingston and Naik and its applications ⋮ Cables of thin knots and bordered Heegaard Floer homology ⋮ Slicing Bing doubles ⋮ The maximal degree of the Khovanov homology of a cable link ⋮ State cycles which represent the canonical class of Lee's homology of a knot ⋮ Some bounds for the knot Floer \(\tau \)-invariant of satellite knots ⋮ On independence of iterated Whitehead doubles in the knot concordance group ⋮ Concordance invariants of doubled knots and blowing up ⋮ Rasmussen's spectral sequences and the \(\mathfrak{sl}_N\)-concordance invariants ⋮ Slice-torus Concordance Invariants and Whitehead Doubles of Links ⋮ Knot Floer homology of Whitehead doubles ⋮ NOTIONS OF POSITIVITY AND THE OZSVÁTH–SZABÓ CONCORDANCE INVARIANT ⋮ Slice knots with distinct Ozsváth-Szabó and Rasmussen invariants ⋮ The Rasmussen invariant of a homogeneous knot ⋮ Floer theory and low dimensional topology ⋮ EXTENDING VAN COTT'S BOUNDS FOR THE τ AND s-INVARIANTS OF A SATELLITE KNOT ⋮ Transverse link invariants from the deformations of Khovanov \(\mathfrak{sl}_3\)-homology ⋮ ON THE Δ-UNKNOTTING NUMBER OF WHITEHEAD DOUBLES OF KNOTS ⋮ Rasmussen and Ozsváth–Szabó invariants of a family of general pretzel knots

Uses Software

• Knot Atlas

Cites Work

• Khovanov homology and the slice genus
• Knot Floer homology and the four-ball genus
• On the Vassiliev knot invariants
• Bounds for the Thurston-Bennequin number from Floer homology
• Computations of the Ozsvath-Szabo knot concordance invariant
• Longitude Floer homology and the Whitehead double
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• RASMUSSEN INVARIANT, SLICE-BENNEQUIN INEQUALITY, AND SLICENESS OF KNOTS
• Maximal Thurston-Bennequin number of two-bridge links
• Unnamed Item
• Unnamed Item

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