Differential Geometry Working Seminar

Alex Pawelko, University of Waterloo

Prequantum Line Bundles and Geometric Quantization

Prequantum line bundles are objects in symplectic geometry that play a somewhat analogous role to holomorphic line bundles in complex geometry. In this talk, we will discuss the existence of prequantum line bundles, examples of them, and their uses in symplectic geometry, most notably in geometric quantization.