PD Dr. rer. nat. Nikolai Neumaier

PD Dr. rer. nat. Nikolai Neumaier
Publication list:
Bordemann, M., Neumaier, N., Waldmann, S.: Homogeneous Fedosov Star Products on Cotangent
Bundles I: Weyl and Standard Ordering with Differential Operator Representation.
Commun. Math. Phys. 198, 363–396 (1998).
Bordemann, M., Neumaier, N., Waldmann, S.: Homogeneous Fedosov Star Products on Cotangent
Bundles II: GNS Representations, the WKB Expansion, Traces, and Applications.
J. Geom. Phys. 29, 199–234 (1999).
Neumaier, N.: Local ν-Euler Derivations and Deligneʼs Characteristic Class of Fedosov Star Products
and Star Products of Special Type.
Commun. Math. Phys. 230, 271–288 (2002).
Bordemann, M., Neumaier, N., Pflaum, M. J., Waldmann, S.: On représentations of star product
algebras over cotangent spaces on Hermitian line bundles.
J. Funct. Anal. 199, 1–47 (2003).
Neumaier, N.: Universality of Fedosovʼs Construction for Star Products of Wick Type on Pseudo-
Kähler Manifolds.
Rep. Math. Phys. 52, 43–80 (2003).
Neumaier, N., Waldmann S.: Morita equivalence bimodules for Wick type star products.
J. Geom. Phys. 47, 177–196 (2003).
Müller-Bahns, M. F., Neumaier, N.: Some Remarks on g-invariant Fedosov Star Products and
Quantum Momentum Mappings.
J. Geom. Phys. 50, 257–272 (2004).
Müller-Bahns, M. F., Neumaier, N.: Invariant Star Products of Wick Type: Classification and Quantum
Momentum Mappings.
Lett. Math. Phys. 70, 1–15 (2004).
Kowalzig, N., Neumaier, N., Pflaum, M. J.: Phase Space Reduction of Star Products on Cotangent
Bundles.
Annales Henri Poincaré 6, 485–552 (2005).
Neumaier, N., Pflaum, M. J., Posthuma, H., Tang, X.: Homology of formal deformations of proper étale
Lie groupoids.
J. Reine Angew. Math. 593, 117–168 (2006).
Heller, J. G., Neumaier, N., Waldmann, S.: A C∗-Algebraic Model for Locally Noncommutative
Spacetimes.
Lett. Math. Phys. 80, 257–272 (2007).
Bordemann, M., Neumaier, N., Waldmann, S., Weiss, S.: Deformation Quantization of Surjective
Submersions and Principal Fibre Bundles.
Crelle Journal für die reine u. angew. Math. 639, 1-39 (2010).
Neumaier, N., Waldmann, S.: Deformation Quantization of Poisson Structures Associated to Lie
Algebroids.
SIGMA 5, 074, 29 pages (2009). Contribution to the Special Issue on Deformation Quantization.

Thesis:
Neumaier, N.: Sternprodukte auf Kotangentenbündeln und Ordnungs-Vorschriften.
Diploma thesis of physics, faculty of physics, University of Freiburg, April 1998 (151 pages).
Neumaier, N.: Klassifikationsergebnisse in der Deformationsquantisierung.
Doctoral thesis of physics, faculty of physics, University of Freiburg, October 2001 (157 pages).
Others:
Neumaier, N.: Fedosov Quantization.
Contribution to the Encyclopedia of Mathematical Physics (9 pages), J.P. Françoise, G. Nuber, T. S.
Tsun (Eds.), Elsevier (2006).
Heller, J. G., Neumaier, N., Waldmann, S.: Locally Noncommutative Spacetimes.
Contribution to the Proceedings of the XXV Workshop on Geometric Methods in Physics, Bialowieza
02.-08.07.2006, J. Geom. Symmetry Phys. 10, 9–27 (2007).