Geodesic
Cycles on algebraic models of smooth manifolds
Journal of the European Mathematical Society, Tome 11 (2009) no. 2, pp. 393-405 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/154
Classification : 58-XX, 14-XX, 00-XX
Keywords: Real algebraic sets, algebraic cohomology classes, algebraic models 
@article{JEMS_2009_11_2_a6,
     author = {Wojciech Kucharz},
     title = {Cycles on algebraic models of smooth manifolds},
     journal = {Journal of the European Mathematical Society},
     pages = {393--405},
     year = {2009},
     volume = {11},
     number = {2},
     doi = {10.4171/jems/154},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/154/}
}
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%J Journal of the European Mathematical Society
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Wojciech Kucharz. Cycles on algebraic models of smooth manifolds. Journal of the European Mathematical Society, Tome 11 (2009) no. 2, pp. 393-405. doi: 10.4171/jems/154

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