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Symplectic Connections of Ricci Type and Star Products

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Higher Structures in Geometry and Physics

Part of the book series: Progress in Mathematics ((PM,volume 287))

Abstract

In this article we relate the construction of Ricci-type symplectic connections by reduction to the construction of star products by reduction yielding rather explicit descriptions for the star product on the reduced space.

AMS Classification (2010): 53D55, 53C07, 53D20

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Authors and Affiliations

  1. Département de Mathématique, Université Libre de Bruxelles, Campus Plaine, C. P. 218, Boulevard du Triomphe, 1050, Bruxelles, Belgium

    Michel Cahen & Simone Gutt

  2. Département de Mathématique, LMAM, Université Paul Verlaine-Metz, Ile du Saulcy, 57045, Metz Cedex 01, France

    Simone Gutt

  3. Fakultät für Mathematik und Physik, Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann Herder Strasse 3, 79104, Freiburg, Germany

    Stefan Waldmann

Authors
  1. Michel Cahen
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  2. Simone Gutt
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  3. Stefan Waldmann
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Corresponding author

Correspondence to Simone Gutt .

Editor information

Editors and Affiliations

  1. Universität Zürich, Institut für Mathematik, Winterthurerstr. 190, Zürich, CH-8057, Switzerland

    Alberto S. Cattaneo

  2. Loyola University, Chicago, Department of Mathematics, Chicago, 60626, Illinois, USA

    Anthony Giaquinto

  3. Pennsylvania State University, Department of Mathematics, Eberly College of Science, University Park, 16802, Pennsylvania, USA

    Ping Xu

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Cahen, M., Gutt, S., Waldmann, S. (2011). Symplectic Connections of Ricci Type and Star Products. In: Cattaneo, A., Giaquinto, A., Xu, P. (eds) Higher Structures in Geometry and Physics. Progress in Mathematics, vol 287. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4735-3_5

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