Formal Geometric Quantization III, Functoriality in the spin-c setting

TL;DR

This paper establishes a functorial property of formal geometric quantization for non-compact spin-c manifolds, advancing the mathematical understanding of quantization procedures in geometric analysis.

Contribution

It proves a functorial aspect of geometric quantization in the spin-c setting for non-compact manifolds, which was previously unaddressed.

Findings

Proves functoriality of geometric quantization in the spin-c context.

Extends the theory to non-compact manifolds.

Provides a foundation for further applications in geometric analysis.

Abstract

In this paper, we prove a functorial aspect of the formal geometric quantization procedure of non-compact spin-c manifolds.