Cycles on algebraic models of smooth manifolds
Wojciech Kucharz (2009)
Journal of the European Mathematical Society
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Every compact smooth manifold is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of . We study modulo 2 homology classes represented by algebraic subsets of , as runs through the class of all algebraic models of . Our main result concerns the case where is a spin manifold.