Perturbative Chern-Simons invariants from non-acyclic flat connections
Mathematical Physics
2026-01-19 v2 High Energy Physics - Theory
Geometric Topology
math.MP
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.
Cite
@article{arxiv.2512.17638,
title = {Perturbative Chern-Simons invariants from non-acyclic flat connections},
author = {Pavel Mnev and Konstantin Wernli},
journal= {arXiv preprint arXiv:2512.17638},
year = {2026}
}
Comments
17 pages, 3 figures. Ver. 2: small expository changes, signs corrected/made explicit, Appendix B added