A compact Kähler manifold M, ω, J \left(M,ω,J\right) with TT‐symmetry admits a natural mixed
polarization P mix P_mix whose real directions come from the TT‐action. In Leung and …

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 geometric …

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, which is …

Let $(X,\omega, J) $ be a toric variety of dimension $2 n $ determined by a Delzant polytope
$ P $. As indicated in [40], $ X $ admits a natural mixed polarization $\mathcal {P} _ {k} …

Geometric quantization often produces not one Hilbert space to represent the quantum
states of a classical system but a whole family H s of Hilbert spaces, and the question arises …

It is shown that the heat operator in the Hall coherent state transform for a compact Lie group
K (J. Funct. Anal. 122 (1994) 103–151) is related with a Hermitian connection associated to …

We consider the generalized Segal–Bargmann transform, defined in terms of the heat
operator, for a noncompact symmetric space of the complex type. For radial functions, we …

In this paper, we give a new construction of the adapted complex structure on a
neighborhood of the zero section in the tangent bundle of a compact, real-analytic …

For the cotangent bundle T⁎ K of a compact Lie group K, we study the complex-time
evolution of the vertical tangent bundle and the associated geometric quantization Hilbert …

For a compact real analytic symplectic manifold we describe an approach to the
complexification of Hamiltonian flows [,,] and corresponding geodesics on the space of …