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arXiv · 2512.03171

A Mathematical Introduction to Geometric Quantization

Kadri İlker Berktav·Burak Oğuz·Ömer Önder·Yunus Emre Sargut·Başar Deniz Sevinç·Deniz Nazif Taştan
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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.

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Kadri İlker Berktav, Burak Oğuz, Ömer Önder, Yunus Emre Sargut, Başar Deniz Sevinç, Deniz Nazif Taştan. 2025-12-02. A Mathematical Introduction to Geometric Quantization. https://arxiv.org/abs/2512.03171

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