4 papers · 1 filter
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.
On enumerative problems for maps and quasimaps: freckles and scars
Olga Chekeres, Santosh Kandel, Andrey Losev +3
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps…