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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Semifree actions on homotopy spheres


Author: Kai Wang
Journal: Trans. Amer. Math. Soc. 211 (1975), 321-337
MSC: Primary 57E15
MathSciNet review: 0377951
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Abstract: In this paper, we study the semifree $ {Z_m}$ actions on homotopy sphere pairs. We show that in some cases the equivariant normal bundle to the fixed point set is equivariantly stably trivial. We compute the rank of the torsion free part of the group of semifree actions on homotopy sphere pairs in some cases. We also show that there exist infinitely many semifree $ {Z_{4s}}$ actions on even dimensional homotopy sphere pairs.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0377951-X
PII: S 0002-9947(1975)0377951-X
Keywords: G-signatures, semifree actions, equivariant normal bundles, Chern classes
Article copyright: © Copyright 1975 American Mathematical Society