nLab cohomological integration

Redirected from "Courant Lie algebroid".
Contents

Context

Integration theory

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

Under suitable circumstances, forming the integral of a differential form may be understood as passing to the cohomology-equivalence class of that differential form in a suitable chain complex.

Examples of this appear in the constructions discussed at Lie integration and at BV-BRST formalism, where cohomological integration is used as a way to formalize the idea of the path integral. (See at The BV-complex and homological (path-)integration)

While the idea has been around (as witnessed by the references at Lie integration and BV-BRST formalism) a comprehensive and dedicated theory, or a published account thereof, currently seems to be missing. But see the References below.

References

Last revised on December 8, 2013 at 05:09:19. See the history of this page for a list of all contributions to it.