417 citations · 2.4k across the 99 of their papers we have counts for
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math-ph2012★ 59 cited
Classical and quantum Lagrangian field theories with boundary
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
This note gives an introduction to Lagrangian field theories in the presence of boundaries. After an overview of the classical aspects, the cohomological formalisms to resolve sing…
math-ph2012★ 84 cited
Classical BV theories on manifolds with boundary
Aberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
In this paper we extend the classical BV framework to gauge theories on spacetime manifolds with boundary. In particular, we connect the BV construction in the bulk with the BFV co…