Quantization of the Momentum Map via g-adapted Formalities

Q: What type of study is this?

This is a Quantitative Study study.

Chiara Esposito; Ryszard Nest; Jonas Schnitzer; Boris Tsygan

doi:10.48550/arxiv.2502.18295

February 25, 2025Open Access

Quantization of the Momentum Map via g-adapted Formalities

View Full Paper

Ask AI

Bookmark

Share

Key Points

A complete classification of G-invariant star products is established using an equivariant approach.
The study focuses on the existence of quantum momentum maps within the context of Poisson manifolds.
Equivariant formality theorem serves as the foundational method for the classification presented.
The findings may inform further applications in geometrical quantization and mathematical physics.

Abstract

In this note, we provide a proof of the existence and complete classification of G-invariant star products with quantum momentum maps on Poisson manifolds by means of an equivariant version of the formality theorem.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Esposito et al. (2025) studied this question.

synapsesocial.com/papers/68f0f51d8dd8ea469b1d6d86 https://doi.org/10.48550/arxiv.2502.18295

View Full Paper

Ask AI

Bookmark

Share

Quantization of the Momentum Map via g-adapted Formalities

Key Points

Abstract

Discussion

Cite This Study

Quantization of the Momentum Map via g-adapted Formalities

Key Points

Abstract

Discussion

Cite This Study

Keep reading

More related papers

Keep reading

More related papers