2 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
Thomas Baier, Joachim Hilgert, Oğuzhan Kaya +2
In this paper we use techniques of geometric quantization to give a geometric interpretation of the Peter--Weyl theorem. We present a novel approach to half-form corrected geometri…
Clifford Coherent State Transforms on Spheres
Pei Dang, José Mourão, João P. Nunes +1
We introduce a one-parameter family of transforms, , , from the Hilbert space of Clifford algebra valued square integrable functions on the --dimensional sphere,…
Quantization in singular real polarizations: Kähler regularization, Maslov correction and pairings
João N. Esteves, José M. Mourão, João P. Nunes
We study the Maslov correction to semiclassical states by using a Kähler regularized BKS pairing map from the energy representation to the Schrödinger representation. For general s…
Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds
William D. Kirwin, José M. Mourão, João P. Nunes
Let be a Delzant polytope. We show that the quantization of the corresponding toric manifold in toric Kähler polarizations and in the toric real polarization are relate…
Complex time evolution in geometric quantization and generalized coherent state transforms
William D. Kirwin, José M. Mourão, João P. Nunes
For the cotangent bundle of a compact Lie group , we study the complex-time evolution of the vertical tangent bundle and the associated geometric quantization Hilbert s…