Symplectic Connections of Ricci Type and Star Products

TL;DR

This paper explores the relationship between Ricci type symplectic connections constructed via reduction and the derivation of star products through reduction, providing explicit descriptions of star products on reduced spaces.

Contribution

It establishes a connection between Ricci type symplectic connections and star product construction via reduction, offering explicit formulas for the reduced star product.

Findings

Explicit description of star products on reduced spaces.

Link between Ricci type symplectic connections and star product reduction.

New methods for constructing star products via symplectic reduction.

Abstract

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