3 papers
math.SG2025
A new look at unitarity in quantization commutes with reduction for toric manifolds
José M. Mourão, José M. Mourão, João P. Nunes +3
For a symplectic toric manifold we consider half-form quantization in mixed polarizations , associated to the action of a subtorus . The real di…
math.DG2024
Mabuchi rays, test configurations and quantization for toric manifolds
António Gouveia, José M. Mourão, João P. Nunes
We consider Mabuchi rays of toric Kähler structures on symplectic toric manifolds which are associated to toric test configurations and that are generated by convex functions on t…
math.SG2024
Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
Thomas Baier, Ana Cristina Ferreira, Joachim Hilgert +2
In this paper, we describe holomorphic quantizations of the cotangent bundle of a symmetric space of compact type , along Mabuchi rays of $…