We introduce a notion of compatibility between (almost) Dirac structures and (1, 1)-tensor
fields extending that of Poisson–Nijenhuis structures. We study several properties of the …

In this paper we propose a noncommutative generalization of the relationship between
compact Kähler manifolds and complex projective algebraic varieties. Beginning with a …

Quantum spheres are among the most studied examples of compact quantum spaces,
described by C*-algebras which are Cuntz-Krieger algebras of a directed graph, as proved …

Using tools from Dirac geometry and through an explicit construction, we show that every
Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic …

We discuss the diagonalization problem of the Nijenhuis tensor in a class of Poisson-
Nijenhuis structures defined on compact hermitian symmetric spaces. We study its action on …

Using tools from Dirac geometry and through an explicit construction, we show that every
Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic …

We discuss the role of Poisson-Nijenhuis geometry in the definition of multiplicative
integrable models on symplectic groupoids. These are integrable models that are …

We study a class of Poisson-Nijenhuis systems defined on compact hermitian symmetric
spaces, where the Nijenhuis tensor is defined as the composition of Kirillov-Konstant …

We define the Bohr-Sommerfeld quantization via $ T $-modules for a $ b $-symplectic toric
manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In …

We review some of the main achievements of the orbit method, when applied to Poisson–Lie
groups and Poisson homogeneous spaces or spaces with an invariant Poisson structure …