On relative cohomology for Lie groupoids and Lie algebroids
Abstract
Motivated by our attempt to understand characteristic classes of Lie groupoids and geometric structures, we are brought back to the fundamentals of the cohomology theories of Lie groupoids and algebroids. One element that was missing in the literature was the notion of relative cohomology in this setting. The main aim of this paper is to develop the structural theory of this notion, the relation between the relative cohomology of groupoids and that of algebroids via van Est maps, and to indicate how it can be used to provide an intrinsic definition of characteristic classes.
Fields of Study & Subjects
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 500
- Pages
- 111104–111104
- Publication date
- 15 June 2026
- Language
- EN