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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
DOI: https://doi.org/10.1090/S0002-9939-1994-1179592-0
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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Keywords: Cobordism class, fixed point set, line bundle, projective space bundle, <!– MATH ${({{\mathbf {Z}}_2})^k}$ –> <IMG WIDTH="54" HEIGHT="45" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="${({{\mathbf {Z}}_2})^k}$">-action
Article copyright: © Copyright 1994 American Mathematical Society