Perturbative BV theories with Segal-like gluing

Understand

This is a survey of our program of perturbative quantization of gauge theories on manifolds with boundary compatible with cutting/pasting and with gauge symmetry treated by means of a cohomological resolution (Batalin-Vilkovisky) formalism.

• We also give two explicit quantum examples -- abelian BF theory and the Poisson sigma model.
• This exposition is based on a talk by P.M.
• at the ICMP 2015 in Santiago de Chile.