Geometric Quantization via SYZ Transforms
Publication in refereed journal

香港中文大學研究人員
替代計量分析
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其它資訊
摘要The so-called quantization problem in geometric quantization is asking whether the space of wave functions is independent of the choice of polarization. In this paper, we apply SYZ transforms to solve the quantization problem in two cases:
(1) semi-flat Lagrangian torus fibrations over complete compact integral affine manifolds, and
(2) projective toric manifolds.
More precisely, we prove that the space of wave functions associated to the real polarization is canonically isomorphic to that associated to a complex polarization via SYZ transforms in both cases.
著者Kwokwai Chan, Yat-Hin Suen
期刊名稱Advances in Theoretical and Mathematical Physics
出版年份2020
卷號24
期次1
出版社International Press of Boston
頁次25 - 66
國際標準期刊號1095-0761
電子國際標準期刊號1095-0753
語言美式英語
關鍵詞geometric quantization, SYZ transform, mirror symmetry, toric manifold

上次更新時間 2020-17-09 於 00:30