3 papers
math.DG2026
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…
math.CV2025
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…
math-ph2018
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…