2 citations · 5 across the 3 of their papers we have counts for
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Higher genus affine algebras of Krichever - Novikov type
Martin Schlichenmaier
For higher genus multi-point current algebras of Krichever-Novikov type associated to a finite-dimensional Lie algebra, local Lie algebra two-cocycles are studied. They yield as ce…
Global Deformations of the Witt Algebra of Krichever-Novikov Type
Alice Fialowski, Martin Schlichenmaier
By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigi…
Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type
Martin Schlichenmaier
Multi-point algebras of Krichever Novikov type for higher genus Riemann surfaces are generalisations of the Virasoro algebra and its related algebras. Complete existence and unique…
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…
Singular projective varieties and quantization
Martin Schlichenmaier
By the quantization condition compact quantizable Kaehler manifolds can be embedded into projective space. In this way they become projective varieties. The quantum Hilbert space o…