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Free differentiable $S^1$ and $S^3$ actions on homotopy spheres

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Publication:5660300
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DOI10.24033/asens.1224zbMath0247.57009OpenAlexW2601725890MaRDI QIDQ5660300

Dan Burghelea

Publication date: 1972

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1972_4_5_2_183_0


Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Homotopy spheres, Poincaré conjecture (57R60)


Related Items

Inertia groups and smooth structures on quaternionic projective spaces, Examples of asymmetric differentiable manifolds, \(S^{1}\)-actions on highly connected manifolds, Decomposability of Homotopy Lens Spaces and Free Cyclic Group Actions on Homotopy Spheres



Cites Work

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  • A note on free differentiable actions of \(S^ 1\) and \(S^ 3\) on homotopy spheres
  • On the homotopy groups of BPL and PL/O II
  • On the Kervaire obstruction
  • Groups of homotopy spheres. I
  • Seminar on Transformation Groups. (AM-46)
  • Homotopy-everything 𝐻-spaces
  • On the triangulation of manifolds and the Hauptvermutung
  • The triangulability of the orbit space of a differentiable transformation group
  • Immersions and Embeddings of Projective Spaces
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