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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Constant codimension fixed sets of commuting involutions


Author: R. J. Shaker
Journal: Proc. Amer. Math. Soc. 121 (1994), 275-281
MSC: Primary 57S17; Secondary 57R75
MathSciNet review: 1179592
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Abstract: The ideals $ \mathcal{J}_{ \ast ,k}^r$ of cobordism classes in $ {\mathcal{N}_ \ast }$, containing a representative admitting a $ {({{\mathbf{Z}}_2})^k}$-action with fixed point set of codimension r are determined for $ {2^k} > r$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1179592-0
PII: S 0002-9939(1994)1179592-0
Keywords: Cobordism class, fixed point set, line bundle, projective space bundle, $ {({{\mathbf{Z}}_2})^k}$-action
Article copyright: © Copyright 1994 American Mathematical Society