UPV/EHU - Universidad del Pais Vasco / Euskal Herriko Unibertsitatea [Espagne] (Barrio Sarriena s/n, 48940 Leioa, Bizkaia
Campus d'Álava : Vice-Rectorado, San Antonio 41, 01005 Vitoria ;
campus de Biscaye et services centraux : Apdo 1397, 48080 Bilbao ;
campus de Guipúzcoa : Vice-Rectorado, Fuenterrabia 13-1° , 20006 San Sebastián - Spain)
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
Contributor : Martintxo Saralegi-Aranguren
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Submitted on : Tuesday, September 4, 2012 - 10:35:35 AM
Last modification on : Wednesday, October 10, 2018 - 7:44:01 PM
Long-term archiving on : Wednesday, December 5, 2012 - 10:12:15 AM
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⟩
