Symplectic connections and Fedosov's quantization on supermanifolds

TL;DR

This paper reviews the current state of symplectic connections on supermanifolds and discusses Fedosov's quantization method, highlighting key developments and remaining challenges in the field.

Contribution

It provides a biased overview of symplectic connections on supermanifolds and comments on Fedosov's quantization technique, emphasizing areas needing further research.

Findings

Summarizes the status of symplectic connections on supermanifolds.

Discusses Fedosov's quantization method in the context of supermanifolds.

Highlights gaps and challenges in the current theory.

Abstract

A (biased and incomplete) review of the status of the theory of symplectic connections on supermanifolds is presented. Also, some comments regarding Fedosov's technique of quantization are made.