Abstract : In this paper, we prove that the orbit space $B$ and the Euler class of the action $\Phi \colon \sbat \times X \to X$ determine both the equivariant intersection cohomology of the pseudomanifold $X$ and its localization. We also construct a spectral sequence converging to the equivariant intersection cohomology of $X$ whose third term is described in terms of the intersection cohomology of $B$.
https://hal-univ-artois.archives-ouvertes.fr/hal-00579889
Contributeur : Martintxo Saralegi-Aranguren
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Soumis le : mardi 4 septembre 2012 - 10:35:35
Dernière modification le : jeudi 3 avril 2014 - 17:10:33
Document(s) archivé(s) le : mercredi 5 décembre 2012 - 10:12:15
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren. Equivariant intersection cohomology of the circle actions. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 (1), pp.49-62. 〈hal-00579889v2〉
