Splitting obstructions for Hermitian forms and manifolds with 𝑍₂⊂𝜋₁

DOI10.1090/S0002-9904-1973-13255-0zbMath0272.57016MaRDI QIDQ5180127

Sylvain E. Cappell

Publication date: 1973

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

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Grothendieck groups, (K)-theory, etc. (16E20) Homotopy equivalences in algebraic topology (55P10) Other matrix groups over rings (20H25) Surgery and handlebodies (57R65) Embeddings in differential topology (57R40) Embeddings and immersions in PL-topology (57Q35) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (11)

The surgery obstruction groups of the infinite dihedral group ⋮ A trichotomy theorem for transformation groups of locally symmetric manifolds and topological rigidity ⋮ Scindement d'une équivalence d'homotopie en dimension $3$ ⋮ Unitary nilpotent groups and Hermitian $K$-theory. I ⋮ Une obstruction pour scinder une équivalence d'homotopie en dimension $3$ ⋮ Manifolds with fundamental group a generalized free product. I ⋮ On the calculation of UNil ⋮ A splitting theorem for manifolds ⋮ Topological rigidity and \(H_1\)-negative involutions on tori ⋮ Generalized Arf invariants in algebraic \(L\)-theory ⋮ Unitary nilpotent groups and the stability of pseudoisotopies

Cites Work

• Unnamed Item
• A splitting theorem for manifolds
• Manifolds with $\pi _1 = Z$
• A splitting theorem for manifolds and surgery groups

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