Covering link calculus and iterated Bing doubles

DOI10.2140/gt.2008.12.2173zbMath1181.57005arXiv0712.3762OpenAlexW2053160586MaRDI QIDQ945634

Taehee Kim, Jae Choon Cha

Publication date: 17 September 2008

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

Full work available at URL: https://arxiv.org/abs/0712.3762

zbMATH Keywords

slice linkHeegaard Floer homologycovering linkconcordance invariantiterated Bing double

Mathematics Subject Classification ID

Related Items (9)

Bing doubling and the colored Jones polynomial ⋮ Amenable signatures, algebraic solutions and filtrations of the knot concordance group ⋮ Concordance to links with unknotted components ⋮ Links not concordant to the Hopf link ⋮ Symmetric Whitney tower cobordism for bordered 3-manifolds and links ⋮ Covering link calculus and the bipolar filtration of topologically slice links ⋮ Concordance of Bing Doubles and Boundary Genus ⋮ Twisted torsion invariants and link concordance ⋮ AN OBSTRUCTION TO SLICING ITERATED BING DOUBLES

Cites Work

• Slicing Bing doubles
• Knot concordance and von Neumann \(\rho\)-invariants
• 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
• Forme de Blanchfield et cobordisme d'entrelacs bord
• Link cobordism
• Link invariants via eta invariant
• Structure in the classical knot concordance group
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Knot Floer homology and the four-ball genus
• Signatures of links in rational homology spheres
• Noncommutative knot theory
• 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
• Invariants of knot cobordism
• Seifert Matrices and Boundary Link Cobordisms
• Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles
• The structure of the rational concordance group of knots
• Structure of the string link concordance group and Hirzebruch-type invariants
• On boundary-link cobordism
• A Concordance Invariant from the Floer Homology of Double Branched Covers
• Higher-order Alexander invariants and filtrations of the knot concordance group
• Not all links are concordant to boundary links

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