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Rational Homotopy and Intersection Cohomology

David Chataur 1 Martinxo Saralegi-Aranguren 2 Daniel Tanré 3
1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352
2 LML - Laboratoire de Mathématiques de Lens
3 LPP - Laboratoire Paul Painlevé - UMR 8524
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
Keywords : Intersection homology. Intersection cohomology. Thom-Whitney cohomology. Balanced perverse complex. Sullivan minimal model. Blow-up. Formality. Perverse local systems. Filtered spaces. Stratified spaces. CS sets. Pseudomanifolds. Topological invariance. Isolated singularities. Thom spaces. Nodal hypersurfaces. Morgan’s model for the complement of a divisor
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https://hal-univ-artois.archives-ouvertes.fr/hal-00727650
Contributor : Martintxo Saralegi-Aranguren <>
Submitted on : Thursday, April 17, 2014 - 12:00:40 AM
Last modification on : Thursday, September 16, 2021 - 10:25:51 AM

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

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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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