31 citations · 60 across the 5 of their papers we have counts for
11 papers
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…
Poisson geometry and Morita equivalence
Henrique Bursztyn, Alan Weinstein
These notes discuss various aspect of the ``representation theory'' of Poisson manifolds, with focus on Morita equivalence and Picard groups. We give a brief introduction to Poisso…
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…
Picard groups in Poisson geometry
Henrique Bursztyn, Alan Weinstein
We study isomorphism classes of symplectic dual pairs P <- S -> P-, where P is an integrable Poisson manifold, S is symplectic, and the two maps are complete, surjective Poisson su…
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…
Gauge equivalence of Dirac structures and symplectic groupoids
Henrique Bursztyn, Olga Radko
We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a sy…