SPECTRAL CONVERGENCE IN GEOMETRIC QUANTIZATION ON K3 SURFACES

被引：0
|
作者：
Hattori, Kota [1 ]
机构：
[1] Keio Univ, 3-14-1 Hiyoshi,Kohoku ku, Yokohama 2238522, Japan
来源：
ASIAN JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 03期
关键词：
Geometric quantization; K3; surface; Bohr-Sommerfeld fiber; measured Gromov-Hausdorff convergence; RICCI CURVATURE; KAHLER; METRICS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the geometric quantization on K3 surfaces from the viewpoint of the spectral convergence. We take a special Lagrangian fibrations on the K3 surfaces and a family of hyper-Kahler structures tending to large complex structure limit, and show a spectral convergence of the partial derivative -Laplacians on the prequantum line bundle to the spectral structure related to the set of Bohr-Sommerfeld fibers.
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页码：315 / 374
页数：60
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