Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

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...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2009-01, Vol.5, p.021
1. Verfasser: Englis, Miroslav
Format: Artikel
Sprache:eng
Schlagworte:
bounded symmetric domain
covariant quantizationn
star product
Toeplitz operator
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Beschreibung
Zusammenfassung: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 operators yielding its asymptotic expansion.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2009.021