A Simple Proof that the Concordance Group of Algebraically Slice Knots is Infinitely Generated

DOI10.2307/2043920zbMath0474.57004OpenAlexW4238306277MaRDI QIDQ3928687

Bo Ju Jiang

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2307/2043920

zbMATH Keywords

double knotCasson- Gordon invariantconcordance group of algebraically slice knots

Mathematics Subject Classification ID

Related Items (23)

Note on the Casson-Gordon invariant of a satellite knot ⋮ Slice knots and knot concordance ⋮ Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group ⋮ A survey of the homology cobordism group ⋮ Von Neumann rho invariants and torsion in the topological knot concordance group ⋮ Rasmussen s-invariants of satellites do not detect slice knots ⋮ Primary decomposition and the fractal nature of knot concordance ⋮ Topologically slice knots with nontrivial Alexander polynomial ⋮ Polynomial splittings of metabelian von Neumann rho–invariants of knots ⋮ A note on $0$-bipolar knots of concordance order two ⋮ Splitting the concordance group of algebraically slice knots ⋮ Infection by string links and new structure in the knot concordance group ⋮ Order in the concordance group and Heegaard-Floer homology ⋮ Knot concordance and heegaard floer homology invariants in branched covers ⋮ Infinite order amphicheiral knots ⋮ Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants ⋮ Link concordance, homology cobordism, and Hirzebruch-type defects from iterated \(p\)-covers ⋮ Knot concordance and higher-order Blanchfield duality ⋮ Linear independence of cables in the knot concordance group ⋮ Correction to the article ``An infinite-rank summand of topologically slice knots ⋮ A lower bound for the double slice genus ⋮ Concordance and mutation ⋮ Seifert forms and concordance

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