JournalsemssVol. 6 , No. 1/2pp. 1–31

Convergence of star products: From examples to a general framework

  • Stefan Waldmann

    University of Würzburg, Germany
Convergence of star products: From examples to a general framework cover
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Abstract

We recall some of the fundamental achievements of formal deformation quantization to argue that one of the most important remaining problems is the question of convergence. Here we discuss different approaches found in the literature so far. The recent developments of finding convergence conditions are then outlined in three basic examples: the Weyl star product for constant Poisson structures, the Gutt star product for linear Poisson structures, and theWick type star product on the Poincaré disc.

Cite this article

Stefan Waldmann, Convergence of star products: From examples to a general framework. EMS Surv. Math. Sci. 6 (2019), no. 1 pp. 1–31

DOI 10.4171/EMSS/31