99 citations · 502 across the 36 of their papers we have counts for
39 papers
Towards First Quantisation Formalism for AKSZ Theories
Leon Menger, Pavel Mnev
\noindent Given an AKSZ theory on a manifold , with target a graded vector space , we formulate a 1-dimensional theory on graphs (the ``first quanti…
BV pushforward as a quasi-isomorphism
Alberto S. Cattaneo, Pavel Mnev
Given a BV theory on a space of fields split into two subspaces ("infrared" and "ultraviolet"), one has the BV pushforward map , sending observables to observables of the effe…
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…
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…
Lecture notes on conformal field theory
Pavel Mnev
These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. The…
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.