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Classification of Equivariant Star Products on Symplectic Manifolds

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Abstract

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.

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  1. Institut für Mathematik, Lehrstuhl für Mathematik X, Universität Würzburg, Campus Hubland Nord, Emil-Fischer-Straße 31, 97074, Würzburg, Germany

    Thorsten Reichert & Stefan Waldmann

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  1. Thorsten Reichert
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  2. Stefan Waldmann
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Correspondence to Stefan Waldmann.

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Reichert, T., Waldmann, S. Classification of Equivariant Star Products on Symplectic Manifolds. Lett Math Phys 106, 675–692 (2016). https://doi.org/10.1007/s11005-016-0834-x

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  • DOI: https://doi.org/10.1007/s11005-016-0834-x

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