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A Mathematical Introduction to Geometric Quantization

2025/12/02 by Kadri İlker Berktav, Burak Oğuz, Berktav, Kadri İlker +9
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2512.03171

Abstract

These notes are based on a series of lectures by Kadri İlker 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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