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Subjects
57-XX Manifolds and cell complexes
57Rxx Differential topology
57R60 Homotopy spheres, Poincaré conjecture

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Circle Actions on Homotopy Spheres Bounding Generalized Plumbing Manifoids.

Reinhard Schultz (1973)

Mathematische Annalen

Compact differentiable transformation groups on exotic spheres.

Eldar Straume (1994)

Mathematische Annalen

Correction for the paper “ $S^{3}$ -bundles and exotic actions”

T. E. Barros (2001)

Bulletin de la Société Mathématique de France

In [R] explicit representatives for $S^{3}$ -principal bundles over $S^{7}$ are constructed, based on these constructions explicit free $S^{3}$ -actions on the total spaces are described, with quotients exotic $7$ -spheres. To describe these actions a classification formula for the bundles is used. This formula is not correct. In Theorem 1 below, we correct the classification formula and in Theorem 2 we exhibit the correct indices of the exotic $7$ -spheres that occur as quotients of the free $S^{3}$ -actions described above.

Currently displaying 1 – 3 of 3