Equivariant spin bordism in low dimensions (Q1190695)

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scientific article; zbMATH DE number 55900
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Equivariant spin bordism in low dimensions
scientific article; zbMATH DE number 55900

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    Equivariant spin bordism in low dimensions (English)
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    26 September 1992
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    This paper calculates the equivariant bordism group of Spin manifolds with an action of \(\mathbb{Z}_ p\), \(p\) an odd prime, in dimensions 5, 6, and 7. The objective of this calculation is to analyze the existence of \(\mathbb{Z}_ p\)-invariant metrics of positive scalar curvature. This program is based on the ideas of J. Rosenberg and S. Weinberger.
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    cyclic action of prime order
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    equivariant bordism group of Spin manifolds
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    invariant metrics of positive scalar curvature
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