BV-BFV approach to general relativity: Einstein-Hilbert action

A. S. Cattaneo, M. Schiavina
J. Math. Phys. 57, 023515 (2016),
  1509.05762
The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any d+1≠2 (pseudo-) Riemannian manifold M with space-like or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightforward way.