Assembly maps and realization of splitting obstructions

DOI10.1007/s00605-009-0129-8zbMath1209.57026OpenAlexW2004956124MaRDI QIDQ1042464

Alberto Cavicchioli, Fulvia Spaggiari, Yurij V. Muranov

Publication date: 14 December 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0129-8

zbMATH Keywords

surgery theoryWall groupstopological manifoldsBrowder--Livesay invariantsBrowder--Quinn surgery obstructionsRanicki's algebraic surgery theorysplitting obstructions

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Surgery obstructions, Wall groups (57R67) Stratified sets (58A35) (L)-theory of group rings (19G24) Surgery obstructions ((K)-theoretic aspects) (19J25)

Related Items (1)

Surgery on pairs of closed manifolds

Cites Work

• Relative groups in surgery theory
• Round L-theory
• Iterated Browder-Livesay invariants and the oozing problem
• Classification of Hermitian forms. VI: Group rings
• Formulae for surgery obstructions
• Homotopy limits, completions and localizations
• Normal invariants of manifold pairs and assembly maps
• Splitting along a submanifold pair
• Splitting a simple homotopy equivalence along a submanifold with filtration
• The L-Theory of Twisted Quadratic Extensions
• Surgery with Finite Fundamental Group
• Surgery on manifolds with finite fundamental groups
• On realization of splitting obstructions in Browder-Livesay groups for closed manifold pairs
• Surgery on triples of manifolds
• A spectral sequence in surgery theory and manifolds with filtrations
• Fixed point free involutions on homotopy spheres
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