Strict Quantization for Compact Pseudo-Kähler Manifolds and Group Actions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Galasso, Andrea
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213528
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Strict Quantization for Compact Pseudo-Kähler Manifolds and Group Actions. Andrea Galasso. SIGMA 21 (2025), 048, 25 pages

The asymptotic results for Berezin-Toeplitz operators yield a strict quantization for the algebra of smooth functions on a given Hodge manifold. It seems natural to generalize this picture for quantizable pseudo-Kähler manifolds in the presence of a group action. Thus, in this setting, we introduce...