A splitting theorem for manifolds and surgery groups

DOI10.1090/S0002-9904-1971-12720-9zbMath0215.52601MaRDI QIDQ5618783

Sylvain E. Cappell

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Surgery obstructions, Wall groups (57R67)

Related Items (12)

Algebraic K-theory of quadratic forms ⋮ 𝐵_{(𝑇𝑂𝑃_{𝑛})^{∼}} and the surgery obstruction ⋮ ENGEL RELATIONS IN 4-MANIFOLD TOPOLOGY ⋮ Scindement d'une équivalence d'homotopie en dimension $3$ ⋮ Submanifolds, group actions and knots. II ⋮ Unitary nilpotent groups and Hermitian $K$-theory. I ⋮ Manifolds with fundamental group a generalized free product. I ⋮ Splitting obstructions for Hermitian forms and manifolds with 𝑍₂⊂𝜋₁ ⋮ Constructing manifolds by homotopy equivalences. II: Browder-Novikov-Wall type obstruction to constructing PL- and topological manifolds from homology manifolds ⋮ A splitting theorem for manifolds ⋮ On global gravitational instantons in superstring theory ⋮ Submanifolds of codimension two and homology equivalent manifolds

Cites Work

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• Wall's surgery obstruction groups for GxZ
• Embedding 1-connected manifolds
• The obstruction to fibering a manifold over a circle

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