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pro vyhledávání: '"Bonechi, F"'
Publikováno v:
In Journal of Geometry and Physics July 2023 189
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Publikováno v:
Lett. Math. Phys. 110, 695-711 (2020)
We discuss observables of an equivariant extension of the A-model in the framework of the AKSZ construction. We introduce the A-model observables, a class of observables that are homotopically equivalent to the canonical AKSZ observables but are bett
Externí odkaz:
http://arxiv.org/abs/1807.08659
Publikováno v:
In Journal of Geometry and Physics October 2022 180
Publikováno v:
In Journal of Geometry and Physics August 2020 154
We discuss a framework for quantizing a Poisson manifold via the quantization of its symplectic groupoid, that combines the tools of geometric quantization with the results of Renault's theory of groupoid C*-algebras. This setting allows very singula
Externí odkaz:
http://arxiv.org/abs/1306.4175
Publikováno v:
Journal of Geometry and Physics Volume: 62 Issue: 8 Pages: 1851-1865 (2012)
We give an explicit form of the symplectic groupoid that integrates the semiclassical standard Podles sphere. We show that Sheu's groupoid, whose convolution C*-algebra quantizes the sphere, appears as the groupoid of the Bohr-Sommerfeld leaves of a
Externí odkaz:
http://arxiv.org/abs/1004.3163
Publikováno v:
J.Geom.Phys. 58 (2008) 1519-1529
We study a reduction procedure for describing the symplectic groupoid of a Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We perform it as a reduction of the Lu-Weinstein symplectic groupoid integrating Poisson Lie groups,
Externí odkaz:
http://arxiv.org/abs/0711.0361
Publikováno v:
Journal of Geometry and Physics 51 (2004)71-81
It is shown that the quantum instanton bundle introduced in Commun. Math. Phys. 226, 419-432 (2002) has a bijective canonical map and is, therefore, a coalgebra Galois extension.
Comment: Latex, 12 pages. Published version
Comment: Latex, 12 pages. Published version
Externí odkaz:
http://arxiv.org/abs/math/0306114
Publikováno v:
Commun.Math.Phys.243:449-459,2003
We define even dimensional quantum spheres Sigma_q^2n that generalize to higher dimension the standard quantum two-sphere of Podle's and the four-sphere Sigma_q^4 obtained in the quantization of the Hopf bundle. The construction relies on an iterated
Externí odkaz:
http://arxiv.org/abs/math/0211462