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Equivariant classification of bm-symplectic surfaces
(Springer, 2018-07-24)
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Article.
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Inspired by Arnold’s classification of local Poisson structures [1] in the plane using the hierarchy of singularities of smooth functions, we consider the problem of global classification of Poisson structures on surfaces. ...
Noncommutative integrable systems on b-symplectic manifolds
(Springer, 2016)
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Article.
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In this paper we study noncommutative integrable systems on b-Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering noncommutative systems on manifolds with boundary ...
An invitation to singular symplectic geometry
(2019)
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Article.
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In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
Geometric Quantization of real polarizations via sheaves
(2015)
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Article.
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In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with ...