DIFFERENTIAL FORMS ON STRATIFIED SPACES
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol.98, no.2, pp.319-330, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 98 Issue: 2
- Publication Date: 2018
- Doi Number: 10.1017/s0004972718000436
- Journal Name: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.319-330
- Galatasaray University Affiliated: Yes
Abstract
First, we extend the notion of stratified spaces to diffeology. Then we characterise the subspace of stratified differential forms, or zero-perverse forms in the sense of Goresky-MacPherson, which can be extended smoothly into differential forms on the whole space. For that we introduce an index which outlines the behaviour of the perverse forms on the neighbourhood of the singular strata.