Back to Search
Start Over
On triangulations of orbifolds and formality.
- Source :
-
Annals of Global Analysis & Geometry . Nov2022, Vol. 62 Issue 4, p829-845. 17p. - Publication Year :
- 2022
-
Abstract
- For an orbifold, there are two naturally associated differential graded algebras, one is the de Rham algebra of orbifold differential forms and the other one is the differential graded algebra of piecewise polynomial differential forms of a triangulation of the coarse space. In this paper, we prove that these two differential graded algebras are weakly equivalent; hence, the formality of these two differential graded algebras is consistent, when the triangulation is smooth. We show that global quotient orbifolds and global homogeneous isotropy orbifolds admit smooth triangulations; hence, the two kinds of formality coincide with each other for these orbifolds. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL forms
*DIFFERENTIAL algebra
*ORBIFOLDS
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 0232704X
- Volume :
- 62
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Annals of Global Analysis & Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 159531193
- Full Text :
- https://doi.org/10.1007/s10455-022-09874-w