Link concordance and generalized doubling operators

DOI10.2140/agt.2008.8.1593zbMath1190.57010arXivmath/0702894OpenAlexW3097993481MaRDI QIDQ1006345

Constance Leidy, Tim D. Cochran, Shelly L. Harvey

Publication date: 20 March 2009

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

Full work available at URL: https://arxiv.org/abs/0801.3677

zbMATH Keywords

concordancesignaturelinkboundary linkBing double\((n)\)-solvableCochran-Orr-Teichner filtration

Mathematics Subject Classification ID

Related Items (15)

Bing doubling and the colored Jones polynomial ⋮ Filtering smooth concordance classes of topologically slice knots ⋮ Primary decomposition and the fractal nature of knot concordance ⋮ Strong coprimality and strong irreducibility of Alexander polynomials ⋮ Infection by string links and new structure in the knot concordance group ⋮ Covering link calculus and iterated Bing doubles ⋮ Symmetric Whitney tower cobordism for bordered 3-manifolds and links ⋮ Derivatives of knots and second-order signatures ⋮ Knot concordance and higher-order Blanchfield duality ⋮ A Topological Approach to Cheeger-Gromov Universal Bounds for von Neumann ρ-Invariants ⋮ Linear independence of cables in the knot concordance group ⋮ Concordance of Bing Doubles and Boundary Genus ⋮ Twisted torsion invariants and link concordance ⋮ AN OBSTRUCTION TO SLICING ITERATED BING DOUBLES ⋮ Whitney towers, gropes and Casson-Gordon style invariants of links

Cites Work

• New topologically slice knots
• Higher-order linking forms for knots
• Slicing Bing doubles
• Knot concordance and von Neumann \(\rho\)-invariants
• Topological minimal genus and \(L^2\)-signatures
• Link concordance, homology cobordism, and Hirzebruch-type defects from iterated \(p\)-covers
• Knot concordance and higher-order Blanchfield duality
• Link invariants via eta invariant
• Homology boundary links and Blanchfield forms: Concordance classification and new tangle-theoretic constructions
• Structure in the classical knot concordance group
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Symmetric unions and ribbon knots
• Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• Noncommutative knot theory
• Homology and derived series of groups. II: Dwyer's theorem.
• Homology cobordism invariants and the Cochran-Orr-Teichner filtration of the link concordance group
• Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm
• Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles
• The structure of the rational concordance group of knots
• An obstruction to slicing knots using the eta invariant
• Higher-order Alexander invariants and filtrations of the knot concordance group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Link concordance and generalized doubling operators