Equivariant differential characters and symplectic reduction

TL;DR

This paper introduces equivariant differential characters, focusing on their role in classifying circle bundles with connections, and explores their applications in prequantization and symplectic reduction processes.

Contribution

It provides a novel framework for understanding equivariant differential characters and their use in geometric quantization and symplectic reduction.

Findings

Equivariant differential characters classify equivariant circle bundles with connections.

The paper develops methods for prequantization using these characters.

Reduction techniques are applied within the equivariant differential character framework.

Abstract

We describe equivariant differential characters (classifying equivariant circle bundles with connections), their prequantization, and reduction.