Cycles on algebraic models of smooth manifolds

• Autores: Wojciech Kucharz
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 11, Nº 2, 2009, págs. 393-405
• Idioma: inglés
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• Resumen

  • 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.