Formal geometric quantization II

TL;DR

This paper proves that two different approaches to formal geometric quantization of non-compact Hamiltonian manifolds yield the same results, confirming their equivalence.

Contribution

It establishes the equivalence of two quantization methods for non-compact Hamiltonian manifolds, previously shown by Ma and Zhang through different techniques.

Findings

Quantization processes coincide for non-compact Hamiltonian manifolds

Confirms previous results by Ma and Zhang using a new proof

Strengthens the theoretical foundation of geometric quantization

Abstract

In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This fact was obtained by Ma and Zhang in the preprint arXiv:0812.3989 by completely different means.