4 papers
Dirac operators for infinite-dimensional color Lie algebras
Steffen Schmidt, Konstantin Wernli
We construct cubic Dirac operators and relative cubic Dirac operators for infinite-dimensional quadratic -graded color Lie algebras with finite-dimensional components.…
Globalization of perturbative Chern-Simons theory on the moduli space of flat connections in the BV formalism
Pavel Mnev, Konstantin Wernli
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…
Perturbative Chern-Simons invariants from non-acyclic flat connections
Pavel Mnev, Konstantin Wernli
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-Sin…
Gluing formulae for heat kernels
Pavel Mnev, Konstantin Wernli
We state and prove two gluing formulae for the heat kernel of the Laplacian on a Riemannian manifold of the form . We present several examples.