Perturbative Quantum Gauge Theories on Manifolds with Boundary

This paper introduces a general perturbative quantization scheme for gauge theories on manifolds with boundary, compatible with cutting and gluing, in the cohomological symplectic (BV–BFV) formalism. Explicit examples, like abelian BF theory and its perturbations, including nontopological ones, are presented. Communicated by M. Salmhofer