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Relational Symplectic Groupoid Quantization for Constant Poisson Structures
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
As a detailed application of the BV-BFV formalism for the quantization of field theories on manifolds with boundary, this note describes a quantization of the relational symplectic…
From topological field theory to deformation quantization and reduction
Alberto S. Cattaneo
This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson…
On time
Alberto S. Cattaneo, Michele Schiavina
This note describes the restoration of time in one-dimensional parameterization-invariant (hence timeless) models, namely the classically-equivalent Jacobi action and gravity coupl…
Perturbative BV theories with Segal-like gluing
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
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 o…