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Iterated integrals with values in Azumaya algebras.
- Source :
-
Proceedings of the American Mathematical Society . Dec2023, Vol. 151 Issue 12, p5453-5467. 15p. - Publication Year :
- 2023
-
Abstract
- We define Chen's iterated integrals of forms with values in an Azumaya algebra and show that in the flat case, these iterated integrals provide chain maps, and more generally, the curved structure is preserved. The appropriate trace maps are then defined and their corresponding geometric meanings are studied. We also define and study the wedge product of forms and the concatenation product of paths for these iterated integrals. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ITERATED integrals
*ALGEBRA
*PATH integrals
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 172751240
- Full Text :
- https://doi.org/10.1090/proc/16564