Inertia groups and smooth structures of (\(n-1\))-connected \(2n\)-manifolds

zbMath1348.57045arXiv1510.03031MaRDI QIDQ294156

Kasilingam Ramesh

Publication date: 9 June 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03031

zbMATH Keywords

concordancehomotopy spheresmooth structuresinertia group

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Differentiable structures in differential topology (57R55) Differential topological aspects of diffeomorphisms (57R50) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (2)

Inertia groups and smooth structures on quaternionic projective spaces ⋮ Connected sum decompositions of high-dimensional manifolds

Cites Work

• The smooth structure set of \(S^{p} \times S^{q}\)
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• Surgery and duality
• Exotic negatively curved structures on Cayley hyperbolic manifolds.
• A diffeomorphism classification of manifolds which are like projective planes
• The structure of the Spin cobordism ring
• Classification problems in differential topology. VI: Classification of \((s-1)\)-connected \((2s+1)\)-manifolds
• Classification of (n-1)-connected 2n-manifolds
• On \( < 8 > \) -cobordism
• Groups of homotopy spheres. I
• On the Structure of Manifolds
• On the Inertia Group of π-Manifolds
• Ambient Surgery and Tangential Homotopy Quaternionic Projective Spaces
• On the Inertia Group of a Product of Spheres

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