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math.QA2020
Noncommutative localization in smooth deformation quantization
Hamilton Araujo, Martin Bordemann, Benedikt Hurle
In this paper we shall show the equivalence of algebraic and analytic localisation for algebras of smooth deformation quantization for several situations. The proofs are based on o…
math.QA2018
Quantization of color Lie bialgebras
Benedikt Hurle, Abdenacer Makhlouf
The main purpose of this paper is to study Quantization of color Lie bialgebras, generalizing to color case the approach by Etingof-Kazhdan which were considered for superbialgebra…
math.QA2018
Bimodule deformation of fibered manifolds and the HKR theorem
Benedikt Hurle
We first want to consider the formal deformation of a fibered manifold as a (bi-)module or subalgebra, where has a given differential star product. Consequent…