109 citations · 208 across the 16 of their papers we have counts for
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Classification of Invariant Star Products up to Equivariant Morita Equivalence on Symplectic Manifolds
Stefan Jansen, Nikolai Neumaier, Gregor Schaumann +1
In this paper we investigate equivariant Morita theory for algebras with momentum maps and compute the equivariant Picard groupoid in terms of the Picard groupoid explicitly. We co…
Deformation Quantization of Surjective Submersions and Principal Fibre Bundles
Martin Bordemann, Nikolai Neumaier, Stefan Waldmann +1
In this paper we establish a notion of deformation quantization of a surjective submersion which is specialized further to the case of a principal fibre bundle: the functions on th…
Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Nikolai Neumaier, Stefan Waldmann
In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E^*, where E -> M is a Lie algebroid. Although the considered Poisson struct…
A C*-Algebraic Model for Locally Noncommutative Spacetimes
Jakob G. Heller, Nikolai Neumaier, Stefan Waldmann
Locally noncommutative spacetimes provide a refined notion of noncommutative spacetimes where the noncommutativity is present only for small distances. Here we discuss a non-pertur…
Invariant Star Products of Wick Type: Classification and Quantum Momentum Mappings
Michael F. Mueller-Bahns, Nikolai Neumaier
We extend our investigations on -invariant Fedosov star products and quantum momentum mappings \cite{MN03a} to star products of Wick type on pseudo-Kähler manifolds. S…
Some Remarks on {}-invariant Fedosov Star Products and Quantum Momentum Mappings
Michael Frank Müller, Nikolai Neumaier
In these notes we consider the usual Fedosov star product on a symplectic manifold emanating from the fibrewise Weyl product , a symplectic torsion free connection $…
Morita equivalence bimodules for Wick type star products
Nikolai Neumaier, Stefan Waldmann
In this paper, the notion of star products with separation of variables on a Kahler manifold is extended to bimodule deformations of (anti-) holomorphic vector bundles over a Kahle…
Universality of Fedosov's Construction for Star Products of Wick Type on Pseudo-Kähler Manilfolds
Nikolai Neumaier
In this paper we construct star products on a pseudo-Kähler manifold using a modification of the Fedosov method based on a different fibrewise product similar to the Wick…
Local -Euler Derivations and Deligne's Characteristic Class of Fedosov Star Products and Star Products of Special Type
Nikolai Neumaier
In this paper we explicitly construct local -Euler derivations $\mathsf E_α= ν\partial_ν+ \Lie{ξ_α} + \mathsf D_α$, where the are local, conformally symplectic vector fiel…
On representations of star product algebras over cotangent spaces on Hermitian line bundles
Martin Bordemann, Nikolai Neumaier, Markus J. Pflaum +1
For every formal power series of closed two-forms on a manifold and every value of an ordering parameter we construct a concrete star produ…