17 citations · 21 across the 3 of their papers we have counts for
7 papers
Polarization complete left invariant connections
Balázs Forman, Róbert Szőke
Let be a real analytic Koszul manifold. An adapted complex structure (ac-structure) on a neighborhood of the zero section in is a complex structure on suc…
Bergman spaces on algebraic curves
László Koltai, Alexander A. Kubasch, Róbert Szőke
A theorem of Wiegerinck asserts that the Bergman space of an open subset of the complex numbers is either infinite-dimensional or trivial. Recently, this has been generalized to ho…
Smooth structures on the field of prequantum Hilbert spaces
Róbert Szőke
When there is a family of complex structures on the phase space, parametrized by a set , the prequantum Hilbert spaces produced by geometric quantization, using the half-form co…
Quantization of compact Riemannian symmetric spaces
Róbert Szőke
The phase space of a compact, irreducible, simply connected, Riemannian symmetric space admits a natural family of Kähler polarizations parametrized by the upper half plane . Us…
Curvature of fields of quantum Hilbert spaces
László Lempert, Róbert Szőke
We show that using the family of adapted Kähler polarizations of the phase space of a compact, simply connected, Riemannian symmetric space of rank-1, the obtained field …
A new look at adapted complex structures
László Lempert, Róbert Szőke
Given a closed real analytic Riemannian manifold, we construct and study a one parameter family of adapted complex structures on the manifold of its geodesics.
Direct images, fields of Hilbert spaces, and geometric quantization
László Lempert, Róbert Szőke
Geometric quantization often produces not one Hilbert space to represent the quantum states of a classical system but a whole family of Hilbert spaces, and the question arise…