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Title:
Star quantization via lattice topological field theory
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Abstract:
The deformation quantization problem for Poisson manifolds is well-known, and famously answered by Kontsevich more than a decade ago. I will describe a new, purely combinatorial, construction of deformation quantizations of infinitesimal Poisson manifolds. It is closely related to the "factorization algebra" perspective on effective quantum field theory recently introduced by Costello and Gwilliam, and also to a new "lattice" version of topological field theories of AKSZ type — time permitting, I will try to describe these connections.Related Papers:
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