Algebraic Symplectic Reduction and Quantization of Singular Spaces

被引：0
|
作者：
Palamodov, Victor [1 ]
机构：
[1] Tel Aviv Univ, IL-66978 Tel Aviv, Ramat Aviv, Israel
来源：
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2023年 / 19卷 / 01期
关键词：
Poisson manifold; constrains; singular symplectic reduction; deformation quantization; Gronewold-Moyal star product; K3; surfaces; MOMENTUM; SYSTEMS;
D O I：
10.15407/mag19.01.178
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The algebraic method of singular reduction is applied for non regular group action on manifolds which provides singular symplectic spaces. The problem of deformation quantization of the singular surfaces is the focus. For some examples of singular Poisson spaces Grdnewold-Moyal series is explic-itly constructed and convergence is checked. Some examples of deformation quantization of singular Poisson spaces are considered in detail.
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收藏
页码：178 / 190
页数：13
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