4 papers
Fourier-Helgason transform as infinite geodesic time limit in geometric quantization
Ana Cristina Ferreira, Joachim Hilgert, José M. Mourão +1
The Fourier-Helgason (FH) transform for a noncompact symmetric space establishes the direct integral decomposition of the unitary representation of on into irr…
Quantum Hall States response to toroidal geometry deformation
Bruno Mera, José M. Mourão, João P. Nunes +1
In this paper, we apply techniques of geometric quantization to study the response of the integer and fractional quantum Hall effects to toroidal geometry deformation. The main met…
A new look at unitarity in quantization commutes with reduction for toric manifolds
José M. Mourão, João P. Nunes, Augusto Pereira +1
For a symplectic toric manifold we consider half-form quantization in mixed polarizations , associated to the action of a subtorus . The real di…
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 th…