Add to ORKGWe extend known prequantization procedures for Poisson and presym- plectic manifolds by defining the prequantization of a Dirac manifold P as a principal U(1)-bundle Q with a compatible Dirac-Jacobi structure. We study the action of Poisson algebras of admissible functions on P on various spaces of locally (with respect to P) defined functions on Q, via hamiltonian vector fields. Finally, guided by examples arising in complex analysis and contact geometry, we propose an extension of the notion of prequantization in which the action of U(1) on Q is permitted to have some fixed points. Dedicated to the memory of Professor Shiing-Shen Chern
Abstract: We prove a reduction theorem for the tangent bundle of a Poisson manifold (M,π) endowed wi...
A sufficient and necessary condition is given for the action of the quotient of a Poisson-Lie group ...
Reduction in the category of Poisson manifolds is defined and some basic properties are derived. Th...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
29 pages.The geometric quantization of Jacobi manifolds is discussed. A natural cohomology (termed L...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the qu...
We prove a reduction theorem for the tangent bundle of a Poisson manifold (M,π) endowed with a pre-H...
AbstractLet (M, ω) be a symplectic manifold with [ω] representing an integral cohomology class, let ...
We present a geometric construction of central S 1-extensions of the quantomorphism group of a prequ...
Abstract. Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantiz...
. Let K be the complex line bundle where the Kostant-Souriau geometric quantization operators are de...
There are no special prerequisites to follow this minicourse except for basic differential geometry....
The geometric quatization on Poisson manifolds is discussed in the spirit of the fact that the notio...
In this work we give a deformation theoretical approach to the problem of quantization. First the no...
Abstract: We prove a reduction theorem for the tangent bundle of a Poisson manifold (M,π) endowed wi...
A sufficient and necessary condition is given for the action of the quotient of a Poisson-Lie group ...
Reduction in the category of Poisson manifolds is defined and some basic properties are derived. Th...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
29 pages.The geometric quantization of Jacobi manifolds is discussed. A natural cohomology (termed L...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the qu...
We prove a reduction theorem for the tangent bundle of a Poisson manifold (M,π) endowed with a pre-H...
AbstractLet (M, ω) be a symplectic manifold with [ω] representing an integral cohomology class, let ...
We present a geometric construction of central S 1-extensions of the quantomorphism group of a prequ...
Abstract. Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantiz...
. Let K be the complex line bundle where the Kostant-Souriau geometric quantization operators are de...
There are no special prerequisites to follow this minicourse except for basic differential geometry....
The geometric quatization on Poisson manifolds is discussed in the spirit of the fact that the notio...
In this work we give a deformation theoretical approach to the problem of quantization. First the no...
Abstract: We prove a reduction theorem for the tangent bundle of a Poisson manifold (M,π) endowed wi...
A sufficient and necessary condition is given for the action of the quotient of a Poisson-Lie group ...
Reduction in the category of Poisson manifolds is defined and some basic properties are derived. Th...