Elements of Geometric Quantization and Applications to Fields and Fluids

TL;DR

This paper provides an overview of geometric quantization, focusing on its applications to fields and fluids, aimed at physicists and including revised lecture notes from a high-energy physics school.

Contribution

It offers a comprehensive, physics-oriented presentation of geometric quantization concepts with updated lecture notes useful for understanding recent research.

Findings

Provides detailed exposition of geometric quantization principles

Connects geometric quantization to applications in fields and fluids

Serves as educational resource with revised lecture notes

Abstract

These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of view. The original notes are posted at \verb+http://theorphyslab-ysu.info/VW_ASW-2014/uploads/ArmeniaLectures.pdf+. The have been revised with some additions and changes, although referencing is still somewhat dated. These notes are posted here as they may be good background material for some recent papers.