Letters in Mathematical Physics

, Volume 106, Issue 5, pp 675–692 | Cite as

Classification of Equivariant Star Products on Symplectic Manifolds

  • Thorsten Reichert
  • Stefan Waldmann


In this note, we classify invariant star products with quantum momentum maps on symplectic manifolds by means of an equivariant characteristic class taking values in the equivariant cohomology. We establish a bijection between the equivalence classes and the formal series in the second equivariant cohomology, thereby giving a refined classification which takes into account the quantum momentum map as well.


quantum momentum map equivariant cohomology star products Fedosov construction 

Mathematics Subject Classification



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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Institut für Mathematik, Lehrstuhl für Mathematik XUniversität WürzburgWürzburgGermany

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