Title :

Intersection Cohomology. Simplicial Blow-up and Rational Homotopy

Author(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]

Journal title :

Memoirs of the American Mathematical Society

Pages :

viii+108 pp.

Publisher :

American Mathematical Society

Publication date :

2018-07

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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 coeShow less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL