Knots having the same Seifert form and primary decomposition of knot concordance

DOI10.1142/S0218216517501036zbMath1380.57005arXiv1708.05962OpenAlexW2964183588MaRDI QIDQ4597726

Taehee Kim

Publication date: 14 December 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05962

zbMATH Keywords

concordanceslice knotSeifert formrho invariantamenable signature

Mathematics Subject Classification ID

Related Items (5)

Amenable signatures, algebraic solutions and filtrations of the knot concordance group ⋮ Unnamed Item ⋮ Knot reversal and rational concordance ⋮ Mini-workshop: Interactions between low-dimensional topology and complex algebraic geometry. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ Primary decomposition in the smooth concordance group of topologically slice knots

Cites Work

• Unnamed Item
• Primary decomposition and the fractal nature of knot concordance
• The topology of four-dimensional manifolds
• Knot concordance and higher-order Blanchfield duality
• Structure in the classical knot concordance group
• Knot concordance, Whitney towers and \(L^2\)-signatures
• An infinite family of non-concordant knots having the same Seifert form
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• Seifert forms and concordance
• Knot cobordism groups in codimension two
• Invariants of knot cobordism
• A Topological Approach to Cheeger-Gromov Universal Bounds for von Neumann ρ-Invariants
• L2-signatures, homology localization, and amenable groups
• Amenable L2-Theoretic Methods and Knot Concordance
• 2-torsion in the n -solvable filtration of the knot concordance group
• Polynomial splittings of metabelian von Neumann rho–invariants of knots
• Structure of the string link concordance group and Hirzebruch-type invariants
• Unraveling the integral knot concordance group
• Polynomial splittings of correction terms and doubly slice knots
• Polynomial splittings of Casson–Gordon invariants
• Polynomial splittings of Ozsvath and Szabo's d-invariant
• Two-torsion in the grope and solvable filtrations of knots
• Infinitely many prime knots with the same Alexander invariants
• Concordance of links with identical Alexander invariants
• Higher-order Alexander invariants and filtrations of the knot concordance group
• Splittings of von Neumann rho-invariants of knots

This page was built for publication: Knots having the same Seifert form and primary decomposition of knot concordance