POINCARÉ DUALITY, CAP PRODUCT AND BOREL–MOORE INTERSECTION HOMOLOGY-Reference-Cited by-同舟云学术

POINCARÉ DUALITY, CAP PRODUCT AND BOREL–MOORE INTERSECTION HOMOLOGY

Published:2020-08-03 Issue:3 Volume:71 Page:943-958
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Saralegi-Aranguren Martintxo¹,Tanré Daniel²

Affiliation:

1. Laboratoire de Mathématiques de Lens EA 2462, Université d’Artois SP18, rue Jean Souvraz, 62307 Lens Cedex, France

2. Département de Mathématiques, UMR-CNRS 8524 Université de Lille, 59655 Villeneuve d’Ascq Cedex, France

Abstract

Abstract Using a cap product, we construct an explicit Poincaré duality isomorphism between the blown-up intersection cohomology and the Borel–Moore intersection homology, for any commutative ring of coefficients and second-countable, oriented pseudomanifolds.

Funder

MINECO

FEDER

CEMPI

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/71/3/943/33669654/haaa009.pdf

Reference23 articles.

1. Éléments de Mathématique. I: Les Structures Fondamentales de l’Analyse. Fascicule VIII. Livre III: Topologie Générale. Chapitre 9: Utilisation des Nombres Réels en Topologie Générale, Deuxième Édition Revue et Augmentée;Bourbaki,1958

2. Graduate Texts in Mathematics;Bredon,1997

3. Steenrod squares on intersection cohomology and a conjecture of M. Goresky and W. Pardon;Chataur;Algebr. Geom. Topol.,2016

4. Singular decompositions of a cap product;Chataur;Proc. Am. Math. Soc.,2017

5. Blown-up intersection cohomology;Chataur;Contemp. Math.,2018

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A reasonable notion of dimension for singular intersection homology;Journal of Homotopy and Related Structures;2024-04-04

2. Intersection homology duality and pairings: singular, PL and sheaf-theoretic;Algebraic & Geometric Topology;2021-12-28

3. Refinement invariance of intersection (co)homologies;Homology, Homotopy and Applications;2021