A Mathematical Introduction to Geometric Quantization
Mathematical Physics
2025-12-04 v1 High Energy Physics - Theory
math.MP
Symplectic Geometry
Abstract
These notes are based on a series of lectures by Kadri \.Ilker Berktav from May 2024 to November 2024, providing a detailed exposition of geometric quantization formalism and its essential components. They are organized into three parts: background in symplectic geometry, basics of geometric quantization formalism, and an application related to Edward Witten's work in knot theory and topology.
Cite
@article{arxiv.2512.03171,
title = {A Mathematical Introduction to Geometric Quantization},
author = {Kadri İlker Berktav and Burak Oğuz and Ömer Önder and Yunus Emre Sargut and Başar Deniz Sevinç and Deniz Nazif Taştan},
journal= {arXiv preprint arXiv:2512.03171},
year = {2025}
}
Comments
147 pp, too many figures, feedbacks and comments are appreciated