On the existence and classification of extensions of actions on submanifolds of disks and spheres

Authors:
Amir Assadi and William Browder

Journal:
Trans. Amer. Math. Soc. **291** (1985), 487-502

MSC:
Primary 57S17; Secondary 57R65, 57S25

DOI:
https://doi.org/10.1090/S0002-9947-1985-0800249-6

MathSciNet review:
800249

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Abstract | References | Similar Articles | Additional Information

Abstract: Given a -action and an embedding , when is it possible to find a -action such that is -free?

Sufficient conditions of cohomological nature for the existence of such extensions are given and the extensions are classified. This leads to the characterization of the stationary point sets and classification of semifree actions on disks up to -diffeomorphism under suitable dimension hypotheses.

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DOI:
https://doi.org/10.1090/S0002-9947-1985-0800249-6

Article copyright:
© Copyright 1985
American Mathematical Society