Volume 21, issue 7 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24, 1 issue

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Intersection homology duality and pairings: singular, PL and sheaf-theoretic

Greg Friedman and James E McClure

Algebraic & Geometric Topology 21 (2021) 3221–3301

We compare the sheaf-theoretic and singular chain versions of Poincaré duality for intersection homology, showing that they are isomorphic via naturally defined maps. Similarly, we demonstrate the existence of canonical isomorphisms between the singular intersection cohomology cup product, the hypercohomology product induced by the Goresky–MacPherson sheaf pairing, and, for PL pseudomanifolds, the Goresky–MacPherson PL intersection product. We also show that the de Rham isomorphism of Brasselet, Hector and Saralegi preserves product structures.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

intersection homology, intersection cohomology, pseudomanifold, cup product, cap product, intersection product, Poincaré duality, Verdier duality, sheaf theory
Mathematical Subject Classification 2010
Primary: 55N33, 55N45
Secondary: 55N30, 57Q99
Received: 5 February 2019
Revised: 15 June 2020
Accepted: 10 July 2020
Published: 28 December 2021
Greg Friedman
Department of Mathematics
Texas Christian University
Fort Worth, TX
United States
James E McClure
Department of Mathematics
Purdue University
West Lafayette, IN
United States