Circle actions on homotopy spheres not bounding spin manifolds

Schultz, Reinhard

doi:10.1090/S0002-9947-1975-0380853-6

Circle actions on homotopy spheres not bounding spin manifolds
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Trans. Amer. Math. Soc. 213 (1975), 89-98 Request permission

Abstract:

Smooth circle actions are constructed on odd-dimensional homotopy spheres that do not bound spin manifolds. Examples are given in every dimension for which exotic spheres of the described type exist.

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