Introduction to the BV-BFV formalism Page 1 Reviews in Mathematical Physics Vol. 32 , No.
9 (2020) 2030006 (67 pages) c World Scientific Publishing Company DOI: 10.1142/S0129055X2030006X …

This paper introduces a general perturbative quantization scheme for gauge theories on
manifolds with boundary, compatible with cutting and gluing, in the cohomological …

This is an introductory review of topological field theories (TFTs) called AKSZ sigma models.
The AKSZ construction is a mathematical formulation for the construction and analysis of a …

We construct a real combinatorial model for the configuration spaces of points of compact
smooth oriented manifolds without boundary. We use these models to show that the real …

We show how to derive asymptotic charges for field theories on manifolds with “asymptotic”
boundary, using the BV-BFV formalism. We also prove that the conservation of said charges …

In this paper we recover the non-perturbative partition function of 2D Yang–Mills theory from
the perturbative path integral. To achieve this goal, we study the perturbative path integral …

We formalize the construction by Batalin and Vilkovisky of a solution of the classical master
equation associated with a regular function on a nonsingular affine variety (the classical …

We describe a covariant framework to construct a globalized version for the perturbative
quantization of nonlinear split AKSZ Sigma Models on manifolds with and without boundary …

Emergent gravity is based on a novel form of the equivalence principle known as the
Darboux theorem or the Moser lemma in symplectic geometry stating that the …

We construct a formal global quantization of the Poisson Sigma Model in the BV-BFV
formalism using the perturbative quantization of AKSZ theories on manifolds with boundary …