Konstantin Wernli

Perturbative Chern-Simons invariants from non-acyclic flat connections

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 “...

Globalization of Perturbative Chern–Simons Theory on the Moduli Space of Flat Connections in the BV Formalism

Abstract We study the perturbative path integral of Chern–Simons theory (the effective BV action on zero-modes) in Lorenz gauge, expanded around a (possibly non-acyclic) flat connection, as a family over the smooth irreducible stratum $${\mathcal {M}}'\subset {\mathcal {M}}$$ M ′...