3 papers
math.SG2026
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…
math-ph2026
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…
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…