Cycles on algebraic models of smooth manifolds

  • Wojciech Kucharz

    Jagiellonian University, Krakow, Poland


Every compact smooth manifold MM is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of MM. We study modulo 22 homology classes represented by algebraic subsets of XX, as XX runs through the class of all algebraic models of MM. Our main result concerns the case where MM is a spin manifold.

Cite this article

Wojciech Kucharz, Cycles on algebraic models of smooth manifolds. J. Eur. Math. Soc. 11 (2009), no. 2, pp. 393–405

DOI 10.4171/JEMS/154