255 citations · 676 across the 36 of their papers we have counts for
11 papers · 1 filter
Morita equivalence and characteristic classes of star products
H. Bursztyn, V. Dolgushev, S. Waldmann
This paper deals with two aspects of the theory of characteristic classes of star products: first, on an arbitrary Poisson manifold, we describe Morita equivalent star products in…
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…
Hermitian star products are completely positive deformations
Henrique Bursztyn, Stefan Waldmann
Let M be a Poisson manifold equipped with a Hermitian star product. We show that any positive linear functional on C^\infty(M) can be deformed into a positive linear functional wit…
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…
The characteristic classes of Morita equivalent star products on symplectic manifolds
Henrique Bursztyn, Stefan Waldmann
In this paper we give a complete characterization of Morita equivalent star products on symplectic manifolds in terms of their characteristic classes: two star products and…