Higher-order intersections in low-dimensional topology

DOI10.1073/pnas.1018581108zbMath1256.57017arXiv1011.6026OpenAlexW2158658835WikidataQ35002778 ScholiaQ35002778MaRDI QIDQ4907470

Rob Schneiderman, Peter Teichner, James Conant

Publication date: 2 February 2013

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6026

zbMATH Keywords

quasi-Lie algebralink concordancetrivalent tree

Mathematics Subject Classification ID

Related Items (14)

Classification of links up to 0-solvability ⋮ Tree homology and a conjecture of Levine ⋮ Cochran's βi-invariants via twisted Whitney towers ⋮ Rational Whitney tower filtration of links ⋮ Low-dimensional topology and geometry ⋮ Unknotted gropes, Whitney towers, and doubly slicing knots ⋮ Concordance of links with identical Alexander invariants ⋮ Symmetric Whitney tower cobordism for bordered 3-manifolds and links ⋮ The bipolar filtration of topologically slice knots ⋮ Whitney towers and gropes in 4–manifolds ⋮ The group of disjoint 2-spheres in 4-space ⋮ Whitney towers, gropes and Casson-Gordon style invariants of links ⋮ Classification of string links up to \(2n\)-moves and link-homotopy ⋮ Geometric filtrations of string links and homology cylinders

Cites Work

• Labeled binary planar trees and quasi-Lie algebras
• Stable concordance of knots in 3-manifolds
• Alexander duality, gropes and link homotopy
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Calculus of clovers and finite type invariants of 3-manifolds
• Subexponential groups in \(4\)-manifold topology
• Addendum and correction to: ``Homology cylinders: an enlargement of the mapping class group
• 4-manifold topology. I: Subexponential groups
• 4-manifold topology. II: Dwyer's filtration and surgery kernels
• Claspers and finite type invariants of links
• Link groups
• The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
• Self-dual connections and the topology of smooth 4-manifolds
• On the Structure of Manifolds
• Whitney towers and gropes in 4–manifolds
• Homology cylinders: an enlargement of the mapping class group
• Links, pictures and the homology of nilpotent groups

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