Cycles on algebraic models of smooth manifolds (Q1012484)

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scientific article; zbMATH DE number 5545784
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Cycles on algebraic models of smooth manifolds
scientific article; zbMATH DE number 5545784

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    Cycles on algebraic models of smooth manifolds (English)
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    21 April 2009
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    Summary: Every compact smooth manifold \(M\) is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of \(M\). We study modulo 2 homology classes represented by algebraic subsets of \(X\), as \(X\) runs through the class of all algebraic models of \(M\). Our main result concerns the case where \(M\) is a spin manifold.
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    real algebraic sets
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    algebraic cohomology classes
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    algebraic models
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