Harmonic forms and cohomology of singular stratified spaces

We construct a potential theory for differential forms on compact stratified spaces, and we show that the space of harmonic forms of degree k is isomorphic to the singular cohomology of degree k. This theory applies to any triangulable topological space.

Saved in:
Bibliographic Details
Published in:Bulletin des sciences mathématiques 2007-07, Vol.131 (5), p.422-456
Main Authors: Ancona, Vincenzo, Gaveau, Bernard, Okada, Masami
Format: Article
Language:English
Subjects:
Cohomology
Differential forms
Potential theory on singular spaces
Singular stratified spaces
Triangularization
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We construct a potential theory for differential forms on compact stratified spaces, and we show that the space of harmonic forms of degree k is isomorphic to the singular cohomology of degree k. This theory applies to any triangulable topological space.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2006.09.001