3 citations · 3 across the 1 of their papers we have counts for
4 papers
A covariant Poisson deformation quantization with separation of variables up to the third order
Alexander Karabegov
We give a simple formula for the operator C_3 of the standard deformation quantization with separation of variables on a Kähler manifold M. Unlike C_1 and C_2, this operator can no…
Almost Kaehler deformation quantization
Alexander V. Karabegov, Martin Schlichenmaier
We use a natural affine connection with nontrivial torsion on an arbitrary almost-Kaehler manifold which respects the almost-Kaehler structure to construct a Fedosov-type deformati…
Identification of Berezin-Toeplitz deformation quantization
Alexander V. Karabegov, Martin Schlichenmaier
We give a complete identification of the deformation quantization which was obtained from the Berezin-Toeplitz quantization on an arbitrary compact Kaehler manifold. The deformatio…
On Fedosov's approach to deformation quantization with separation of variables
Alexander V. Karabegov
The description of all deformation quantizations with separation of variables on a Kaehler manifold obtained in our earlier paper is used to identify the Fedosov star-product of Wi…