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Rational Homotopy and Intersection Cohomology

Abstract : In this text, we extend Sullivan's presentation of rational homotopy type to Goresky and MacPherson's intersection cohomology. We choose the context of face sets, also called simplicial sets without degeneracies, in the sense of Rourke and Sanderson. We define filtered face sets, perverse local systems over them and intersection cohomology with coe
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Contributor : Martintxo Saralegi-Aranguren Connect in order to contact the contributor
Submitted on : Thursday, April 17, 2014 - 12:00:40 AM
Last modification on : Wednesday, November 3, 2021 - 6:19:29 AM

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  • HAL Id : hal-00727650, version 1
  • ARXIV : 1205.7057


David Chataur, Martinxo Saralegi-Aranguren, Daniel Tanré. Rational Homotopy and Intersection Cohomology. Memoirs of the American Mathematical Society, American Mathematical Society, 2018, 254 (1214), viii+108 pp. ⟨hal-00727650⟩



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