Surgery on pairs of closed manifolds

DOI10.1007/s10587-009-0037-zzbMath1224.57014OpenAlexW1977101853MaRDI QIDQ3070141

Fulvia Spaggiari, Yurij V. Muranov, Alberto Cavicchioli

Publication date: 2 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37940

zbMATH Keywords

assembly mapsplitting problemsurgery on manifoldsmanifold with filtrationBrowder-Livesay groupBrowder-Quinn surgery obstruction groupsplitting obstruction groupsurgery obstruction groups for a manifold pair

Mathematics Subject Classification ID

Spectral sequences in algebraic topology (55T99) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Surgery obstructions, Wall groups (57R67) Stratified sets (58A35) Surgery obstructions ((K)-theoretic aspects) (19J25)

Related Items (1)

Splitting obstruction groups along one-sided submanifolds

Cites Work

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• Relative groups in surgery theory
• Assembly maps and realization of splitting obstructions
• Round L-theory
• Iterated Browder-Livesay invariants and the oozing problem
• Classification of Hermitian forms. VI: Group rings
• Formulae for surgery obstructions
• Splitting a simple homotopy equivalence along a submanifold with filtration
• The L-Theory of Twisted Quadratic Extensions
• Surgery with Finite Fundamental Group
• On realization of splitting obstructions in Browder-Livesay groups for closed manifold pairs
• MIXED STRUCTURES ON A MANIFOLD WITH BOUNDARY
• Fixed point free involutions on homotopy spheres

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