6 citations · 15 across the 7 of their papers we have counts for
14 papers · 1 filter
Convergence of the Wick Star Product
Svea Beiser, Hartmann Roemer, Stefan Waldmann
We construct a Frechet space as a subspace of C^ω(C^n) where the Wick star product converges and is continuous. The resulting Frechet algebra A_h is studied in detail including a *…
Induction of representations in deformation quantization
Henrique Bursztyn, Stefan Waldmann
We discuss the procedure of Rieffel induction of representations in the framework of formal deformation quantization of Poisson manifolds. We focus on the central role played by al…
The H-Covariant Strong Picard Groupoid
Stefan Jansen, Stefan Waldmann
The notion of H-covariant strong Morita equivalence is introduced for *-algebras over C = R(i) with an ordered ring R which are equipped with a *-action of a Hopf *-algebra H. This…
Completely positive inner products and strong Morita equivalence
Henrique Bursztyn, Stefan Waldmann
We develop a general framework for the study of strong Morita equivalence in which -algebras and hermitian star products on Poisson manifolds are treated in equal footing. We…
Bimodule deformations, Picard groups and contravariant connections
Henrique Bursztyn, Stefan Waldmann
We study deformations of invertible bimodules and the behavior of Picard groups under deformation quantization. While K_0-groups are known to be stable under formal deformations of…
Morita equivalence of Fedosov star products and deformed Hermitian vector bundles
Stefan Waldmann
Based on the usual Fedosov construction of star products for a symplectic manifold M we give a simple geometric construction of a bimodule deformation for the sections of a vector…