Add to ORKGAbstract. The purpose of this paper is to apply the framework of non-commutative differential geometry to quantum deformations of a class of Kähler manifolds. For the examples of the Cartan domains of type I and flat space, we construct Fredholm modules over the quantized manifolds using the supercharges which arise in the quantization of supersymmetric generalizations of the manifolds. We compute an explicit formula for the Chern character on generators of the Toeplitz C∗-algebra
In this paper we study quantum del Pezzo surfaces belonging to a certain class. In particular we int...
We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with ...
Abstract. We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their...
The purpose of this paper is to apply the framework of non-commutative differential geometry to quan...
We present a general theory of non-perturbative quantization of a class of hermitian symmetric super...
A class of C∗-algebras called quantum Heisenberg manifolds were introduced by Rieffel in (Comm. Math...
We construct explicit generators of the K-theory and K-homology of the coordinate algebras of \u2018...
Following our previous works on noncommutative manifolds and noncommutative PDE's, we consider in th...
AbstractWe present a general theory of non-perturbative quantization of a class of hermitian symmetr...
AbstractWe construct families of non-commuting C*-algebras of "quantized functions" for bounded irre...
We discuss generalizations of the notion of i) the group of unitary elements of a (real or complex) ...
AbstractA class of C∗-algebras called quantum Heisenberg manifolds were introduced by Rieffel in (Co...
. Let K be the complex line bundle where the Kostant-Souriau geometric quantization operators are de...
In this paper we construct explicitly natural (from the geometrical point of view) Fock space repres...
We describe the possible noncommutative deformations of complex projective three-space by exhibiting...
In this paper we study quantum del Pezzo surfaces belonging to a certain class. In particular we int...
We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with ...
Abstract. We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their...
The purpose of this paper is to apply the framework of non-commutative differential geometry to quan...
We present a general theory of non-perturbative quantization of a class of hermitian symmetric super...
A class of C∗-algebras called quantum Heisenberg manifolds were introduced by Rieffel in (Comm. Math...
We construct explicit generators of the K-theory and K-homology of the coordinate algebras of \u2018...
Following our previous works on noncommutative manifolds and noncommutative PDE's, we consider in th...
AbstractWe present a general theory of non-perturbative quantization of a class of hermitian symmetr...
AbstractWe construct families of non-commuting C*-algebras of "quantized functions" for bounded irre...
We discuss generalizations of the notion of i) the group of unitary elements of a (real or complex) ...
AbstractA class of C∗-algebras called quantum Heisenberg manifolds were introduced by Rieffel in (Co...
. Let K be the complex line bundle where the Kostant-Souriau geometric quantization operators are de...
In this paper we construct explicitly natural (from the geometrical point of view) Fock space repres...
We describe the possible noncommutative deformations of complex projective three-space by exhibiting...
In this paper we study quantum del Pezzo surfaces belonging to a certain class. In particular we int...
We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with ...
Abstract. We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their...