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Equivariant intersection cohomology of the circle actions

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 $B$.
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Contributor : Martintxo Saralegi-Aranguren Connect in order to contact the contributor
Submitted on : Tuesday, September 4, 2012 - 10:35:35 AM
Last modification on : Thursday, September 29, 2022 - 2:10:29 PM
Long-term archiving on: : Wednesday, December 5, 2012 - 10:12:15 AM


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  • HAL Id : hal-00579889, version 2
  • ARXIV : 1103.4964



José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren. Equivariant intersection cohomology of the circle actions. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2014, 108 (1), pp.49-62. ⟨hal-00579889v2⟩



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