Connected sum along the cycle operation of \(S^ p \times S^{n-p}\) on \(\pi\)-manifolds

DOI10.3792/pjaa.57.499zbMath0505.57010OpenAlexW1989605537MaRDI QIDQ1836431

Yoshihiro Sako

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.499

zbMATH Keywords

connected sum of a Pi-manifold and the product of a sphere with a homotopy sphere

Mathematics Subject Classification ID

Differentiable structures in differential topology (57R55) Differential topological aspects of diffeomorphisms (57R50) Realizing cycles by submanifolds (57R95) Homotopy spheres, Poincaré conjecture (57R60)

Cites Work

• Unnamed Item
• On the normal bundle of a homotopy sphere embedded in Euclidean space
• A classification of differentiable knots
• Differential structures on a product of spheres
• On the inertia groups of homology tori
• Differential structures on a product of spheres. II
• On the Structure of Manifolds
• $\Pi$-imbeddings of homotopy spheres
• A remark on the $\pi$-imbedding of homotopy spheres
• On the Inertia Group of a Product of Spheres

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