Perturbative Chern-Simons invariants from non-acyclic flat connections
arXiv:2512.17638
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.
17 pages, 3 figures. Ver. 2: small expository changes, signs corrected/made explicit, Appendix B added