Higher-order Alexander invariants and filtrations of the knot concordance group

DOI10.1090/S0002-9947-07-04177-3zbMath1132.57005arXivmath/0411641MaRDI QIDQ5437601

Tim D. Cochran, Taehee Kim

Publication date: 21 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0411641

zbMATH Keywords

filtrationknot concordancehigher order Alexander module\(n\)-solvable\(n\)th derived groupsymmetric grope filtration

Mathematics Subject Classification ID

Related Items (14)

Symmetric chain complexes, twisted Blanchfield pairings and knot concordance ⋮ Doubly slice knots and metabelian obstructions ⋮ Amenable signatures, algebraic solutions and filtrations of the knot concordance group ⋮ Knots having the same Seifert form and primary decomposition of knot concordance ⋮ Novikov homology and non-commutative Alexander polynomials ⋮ Primary decomposition and the fractal nature of knot concordance ⋮ Covering link calculus and iterated Bing doubles ⋮ Symmetric Whitney tower cobordism for bordered 3-manifolds and links ⋮ Link concordance, homology cobordism, and Hirzebruch-type defects from iterated \(p\)-covers ⋮ Knot concordance and higher-order Blanchfield duality ⋮ Link concordance and generalized doubling operators ⋮ Two-torsion in the grope and solvable filtrations of knots ⋮ Whitney towers, gropes and Casson-Gordon style invariants of links ⋮ New topologically slice knots

Cites Work

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