A Class of Non-Polarizable Symplectic Manifolds.
A coordinatewise formulation of geometric quantization
A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum.
A method for weight multiplicity computation based on Berezin quantization.
A monotonicity formula for Yang-Mills Fields.
Achèvement de la démonstration géométrique élémentaire donnée par Steiner pour ce théorème : «le cercle possède la plus grande parmi toutes les figures planes isopérimètres»
Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
Algèbres et faisceaux d'algèbres de Lie graduées, associées à des espaces spinoriels et fibrations spinorielles par un principe de trialité
Aspects of Geometric Quantization Theory in Poisson Geometry
This is a survey exposition of the results of [14] on the relationship between the geometric quantization of a Poisson manifold, of its symplectic leaves and its symplectic realizations, and of the results of [13] on a certain kind of super-geometric quantization. A general formulation of the geometric quantization problem is given at the beginning.
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.