Symplectic connections of Ricci type and star products. (English) Zbl 1220.53102

Cahen, Michel; Gutt, Simone; Waldmann, Stefan

Cattaneo, Alberto S. (ed.) et al., Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff. Basel: Birkhäuser (ISBN 978-0-8176-4734-6/hbk; 978-0-8176-4735-3/ebook). Progress in Mathematics 287, 93-110 (2011).

Authors’ abstract: “Throughout this paper, the authors 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.”
For the entire collection see [Zbl 1203.00021].

Reviewer: Béchir Dali (Riyadh)

MSC:

53D55	Deformation quantization, star products
53C07	Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
53D20	Momentum maps; symplectic reduction

Keywords:

symplectic connections; reduction; Ricci-type