TL;DR
This paper reviews the foundational concepts of Kostant-Souriau prequantization, including the classic proof linking symplectic form integrality to prequantizability of symplectic manifolds.
Contribution
It provides a clear exposition of the classic proof that a symplectic manifold is prequantizable if and only if its symplectic form is integral.
Findings
Confirmation of the integrality condition for prequantization
Clarification of the prequantization process for symplectic manifolds
Educational overview of Kostant-Souriau theory
Abstract
This is a report for my Master's reading project where I review some basic ideas in the theory of prequantizing a symplectic manifold. The classic proof that a symplectic manifold is prequantizable if and only if its symplectic form is integral is given.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology