XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Victor Palamodov

Non regular symplectic reduction and quantization of singular spaces

The algebraic method of singular reduction is applied for non regular group action providing a singular Poisson space. For some examples of singular Poisson spaces the deformation quantization is explicitly constructed. For the flat phase space with the classical moment map and the orthogonal group action the deformation quantization converges for the class of entire functions.

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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