BV theories on manifold with boundaries give rise to an interesting structure we call BV-BFV. In this talk (based on joint work with Mnev and Reshetikhin) I will discuss quantization of BV-BFV theories focussing on the example of BF theories.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/3946