Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

Details Toeplitz Quantization and Asymptotic Expansions: Geometric Construction Toeplitz Quantization and Asymptotic Expansions: Geometric Construction

2009-02-20

arxiv.org/abs/0902.3628v1

SIGMA 5 (2009), 021, 30 pages

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2009.021

For a real symmetric domain $G_{\mathbb R}/K_{\mathbb R}$, with
complexification $G_{\mathbb C}/K_{\mathbb C}$, we introduce the concept of
"star-restriction" (a real analogue of the "star-products" for quantization of
K\"ahler manifolds) and give a geometric construction of the $G_{\mathbb
R}$-invariant differential operators yielding its asymptotic expansion.

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