Perturbative quantum gauge theories on manifolds with boundary

A. S. Cattaneo, P. Mnev, N. Reshetikhin
  1507.01221
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.