Whitney tower concordance of classical links

DOI10.2140/gt.2012.16.1419zbMath1257.57005arXiv1202.3463OpenAlexW3099296048MaRDI QIDQ441122

Peter Teichner, Rob Schneiderman, James Conant

Publication date: 20 August 2012

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

Full work available at URL: https://arxiv.org/abs/1202.3463

zbMATH Keywords

treeArf invariantslice linkWhitney towerlink concordancegropeSato-Levine invariantWhitney disk

Mathematics Subject Classification ID

Related Items (17)

Abelian quotients of the \(Y\)-filtration on the homology cylinders via the LMO functor ⋮ On the kernel of the surgery map restricted to the 1‐loop part ⋮ Tree homology and a conjecture of Levine ⋮ Cochran's βi-invariants via twisted Whitney towers ⋮ Rational Whitney tower filtration of links ⋮ Abelian quotients of the string link monoid ⋮ Unknotted gropes, Whitney towers, and doubly slicing knots ⋮ Links not concordant to the Hopf link ⋮ Concordance of links with identical Alexander invariants ⋮ Symmetric Whitney tower cobordism for bordered 3-manifolds and links ⋮ Stable concordance of knots in 3-manifolds ⋮ Whitney towers and abelian invariants of knots ⋮ The relative Whitney trick and its applications ⋮ The group of disjoint 2-spheres in 4-space ⋮ Introduction to Whitney towers ⋮ Classification of string links up to \(2n\)-moves and link-homotopy ⋮ Geometric filtrations of string links and homology cylinders

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tree homology and a conjecture of Levine
• Labeled binary planar trees and quasi-Lie algebras
• Knot concordance and von Neumann \(\rho\)-invariants
• Stable concordance of knots in 3-manifolds
• Link concordance, homology cobordism, and Hirzebruch-type defects from iterated \(p\)-covers
• Knot concordance and higher-order Blanchfield duality
• Homotopy invariants of links
• Alexander duality, gropes and link homotopy
• Grope cobordism of classical knots.
• Grope cobordism and Feynman diagrams
• Knot concordance, Whitney towers and \(L^2\)-signatures
• The Kontsevich integral and Milnor's invariants
• Exponential separation in \(4\)-manifolds
• Higher order intersection numbers of \(2\)-spheres in \(4\)-manifolds
• Addendum and correction to: ``Homology cylinders: an enlargement of the mapping class group
• 4-manifold topology. II: Dwyer's filtration and surgery kernels
• Simple Whitney towers, half-gropes and the Arf invariant of a knot
• The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
• Milnor invariants and twisted Whitney towers
• k-Cobordism for Links in S 3
• Derivatives of links: Milnor’s concordance invariants and Massey’s products
• Characterization of finite type string link invariants of degree <5
• Whitney's Trick for Three 2-Dimensional Homology Classes of 4-Manifolds
• Existence of π 1 -Negligible Embeddings in 4-Manifolds: A Correction to Theorem 10.5 of Freedman and Quinn
• Whitney towers and gropes in 4–manifolds
• Links, pictures and the homology of nilpotent groups

This page was built for publication: Whitney tower concordance of classical links