Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Englis, M., Upmeier, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149182
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Toeplitz Quantization and Asymptotic Expansions: Geometric Construction / M. Englis, H. Upmeier // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 37 назв. — англ.

For a real symmetric domain GR/KR, with complexification GC/KC, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the GR-invariant differential...