4-manifold topology. II: Dwyer's filtration and surgery kernels

DOI10.1007/BF01231455zbMath0857.57018MaRDI QIDQ1911558

Peter Teichner, Michael Hartley Freedman

Publication date: 18 June 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144331

zbMATH Keywords

4-manifoldlinkssurgery\(s\)-cobordismDwyer filtrationsurgery kernel\(\pi_ 1\)-nullWhitehead doubles

Mathematics Subject Classification ID

Related Items (20)

Casson towers and slice links ⋮ Applications of controlled surgery in dimension 4: examples ⋮ Alexander duality, gropes and link homotopy ⋮ The \(\mathbb{Z}\)-genus of boundary links ⋮ The four-genus of a link, Levine–Tristram signatures and satellites ⋮ Cochran's βi-invariants via twisted Whitney towers ⋮ A homotopy+ solution to the A-B slice problem ⋮ ENGEL RELATIONS IN 4-MANIFOLD TOPOLOGY ⋮ Whitney tower concordance of classical links ⋮ Rational Whitney tower filtration of links ⋮ Claspers and finite type invariants of links ⋮ Higher-order intersections in low-dimensional topology ⋮ Solving four-dimensional surgery problems using controlled theory ⋮ Homology and derived series of groups. II: Dwyer's theorem. ⋮ Topological 4-manifolds with right-angled Artin fundamental groups ⋮ Whitney towers and gropes in 4–manifolds ⋮ A family of freely slice good boundary links ⋮ The relative Whitney trick and its applications ⋮ Topology of four-manifolds with special homotopy groups ⋮ Introduction to Whitney towers

Cites Work

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• The topology of four-dimensional manifolds
• Milnor's mu-invariants, Massey products and Whitney's trick in 4 dimensions
• A new technique for the link slice problem
• Whitehead\(_ 3\) is a ``slice link
• Homology, Massey products and maps between groups
• Homology and central series of groups
• Link groups
• Derivatives of links: Milnor’s concordance invariants and Massey’s products

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