Manifolds with constant codimensional involution (Q1201647)

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scientific article; zbMATH DE number 98078
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Manifolds with constant codimensional involution
scientific article; zbMATH DE number 98078

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    Manifolds with constant codimensional involution (English)
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    17 January 1993
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    This paper determines the set of cobordism classes realized by manifolds with involution \((M^ n,T)\) for which the fixed point set has constant codimension \(k\). The essential condition is that every Stiefel-Whitney number divisible by \(n-2k+1\) classes \(w_{2j+1}\) be zero. The paper itself is involved with constructing needed examples of involutions. The approach is based on previous work by Wu Zhende. \{Reviewer's remark: If correct, these results are very nice and go far beyond what was known. Unfortunately, the results depend on earlier papers and I have been unable to find and understand enough of the argument to adequately describe the classes satisfying the characteristic number conditions\}.
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    cobordism classes realized by manifolds with involution
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    fixed point set
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    Stiefel-Whitney number
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