Quantization of the Momentum Map via \frakg-adapted Formalities

2025/02/25 by Esposito, Chiara, Nest, Ryszard, Schnitzer, Jonas +1
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2502.18295

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.

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