Slice knots with distinct Ozsváth-Szabó and Rasmussen invariants

DOI10.1090/S0002-9939-07-09276-3zbMath1137.57015arXivmath/0602631MaRDI QIDQ5429458

Charles Livingston

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602631

zbMATH Keywords

slice knotRasmussen invariantOzsváth-Szabó invarianttrivial Alexander polynomial

Mathematics Subject Classification ID

Related Items (10)

Inequality on $t_\nu (K)$ defined by Livingston and Naik and its applications ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ State cycles which represent the canonical class of Lee's homology of a knot ⋮ On independence of iterated Whitehead doubles in the knot concordance group ⋮ Concordance invariants from higher order covers ⋮ Rasmussen's spectral sequences and the \(\mathfrak{sl}_N\)-concordance invariants ⋮ Links with non-trivial Alexander polynomial which are topologically concordant to the Hopf link ⋮ The Rasmussen invariant of a homogeneous knot ⋮ The bipolar filtration of topologically slice knots ⋮ Correction to the article ``An infinite-rank summand of topologically slice knots

Cites Work

• Khovanov homology and the slice genus
• The topology of four-dimensional manifolds
• Smooth concordance of topologically slice knots
• Knot Floer homology and the four-ball genus
• Splitting the concordance group of algebraically slice knots
• An application of gauge theory to four dimensional topology
• Computations of the Ozsvath-Szabo knot concordance invariant
• Linear independence of topologically slice knots in the smooth cobordism group
• Ozsváth-Szabó and Rasmussen invariants of doubled knots
• SLICE KNOTS IN S³
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• Polynomial splittings of Casson–Gordon invariants
• A Concordance Invariant from the Floer Homology of Double Branched Covers

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