Abstract
In this note, we shall find a necessary condition for a homotopy sphere to admit a free S 1 differentiable action, and will give an example of an odd dimensional homotopy sphere which does not admit any such action. A similar result is obtained by applying the same method to the case of free ℤ2 actions.
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Milnor, J.: Remarks concerning Spin manifolds, Differential and combinatory topology, a symposium in honor of Marston Morse, Princeton University Press, Princeton, N. J., 1965.
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© 1968 Springer-Verlag Berlin · Heidelberg
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Lee, R. (1968). Non-Existence of Free Differentiable Actions of S 1 and ℤ2 on Homotopy Spheres. In: Mostert, P.S. (eds) Proceedings of the Conference on Transformation Groups. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46141-5_13
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DOI: https://doi.org/10.1007/978-3-642-46141-5_13
Publisher Name: Springer, Berlin, Heidelberg
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