Perturbative Chern-Simons invariants from non-acyclic flat connections
Abstract
We give a short review of our construction of a higher-loop perturbative invariant of framed 3-manifolds, generalizing the perturbative Chern- Simons invariant of Witten-Axelrod-Singer, associated to an acyclic flat connection, to an invariant given by the integral of a certain “Chern-Simons volume form” over a smooth closed component of the moduli space of flat connections.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Geometry and complex manifolds
Publication details
- Journal / source
- Reviews in Mathematical Physics
- Publisher
- World Scientific Pub Co Pte Ltd
- Publication date
- 31 August 2026
- Language
- EN