525 citations · 1k across the 33 of their papers we have counts for
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Partial coherent state transforms, -invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups
José M. Mourão, João P. Nunes, Miguel B. Pereira
In this paper, we study the analytic continuation to complex time of the Hamiltonian flow of certain -invariant functions on the cotangent bundle of a compact connected…
Picard group and quantization of toric orbifolds
Thomas Baier, José M. Mourão, João P. Nunes
In the classical theory of toric manifolds polytopes appear in two guises -- as Newton polytopes of line bundles on the complex, and as moment polytopes on the symplectic side, the…
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…
On complexified analytic Hamiltonian flows and geodesics on the space of Kahler metrics
Jose M. Mourao, Joao P. Nunes
In the case of a compact real analytic symplectic manifold M we describe an approach to the complexification of Hamiltonian flows [Se, Do1, Th1] and corresponding geodesics on the…
Coherent state transforms and the Mackey-Stone-Von Neumann theorem
William D. Kirwin, José M. Mourão, João P. Nunes
Mackey showed that for a compact Lie group , the pair has a unique non-trivial irreducible covariant pair of representations. We study the relevance of this resul…
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…
Degeneration of Kaehler structures and half-form quantization of toric varieties
William D. Kirwin, José M. Mourão, João P. Nunes
We study the half-form Kaehler quantization of a smooth symplectic toric manifold , such that and is nonnegative. We define the…
Toric Kähler metrics seen from infinity, quantization and compact tropical amoebas
Thomas Baier, Carlos Florentino, José M. Mourão +1
We consider the metric space of all toric Kähler metrics on a compact toric manifold; when "looking at it from infinity" (following Gromov), we obtain the tangent cone at infinity,…
On the BKS pairing for Kahler quantizations of the cotangent bundle of a Lie group
Carlos Florentino, Pedro Matias, Jose Mourao +1
A natural one-parameter family of Kähler quantizations of the cotangent bundle of a compact Lie group , taking into account the half-form correction, was studied in \cite…
Geometric quantization, complex structures and the coherent state transform
Carlos Florentino, Pedro Matias, Jose Mourao +1
It is shown that the heat operator in the Hall coherent state transform for a compact Lie group is related with a Hermitian connection associated to a natural one-parameter fam…