Titre :

Intersection Cohomology. Simplicial Blow-up and Rational Homotopy

Auteur(s) :

Chataur, David [Auteur]
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]
Tanré, Daniel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Saralegi-Aranguren, Martintxo [Auteur]
Laboratoire de Mathématiques de Lens [LML]

Titre de la revue :

Memoirs of the American Mathematical Society

Pagination :

viii+108 pp.

Éditeur :

American Mathematical Society

Date de publication :

2018-07

Mot(s)-clé(s) en anglais :

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

Discipline(s) HAL :

Mathématiques [math]/Topologie algébrique [math.AT]
Mathématiques [math]/Topologie géométrique [math.GT]

Résumé en anglais : [en]

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 ...
Lire la suite >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 coeLire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T10:31:05Z