Covering spaces of symplectic toric orbifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-01-20 DOI:10.1007/s10455-025-09984-1

Paweł Raźny, Nikolay Sheshko

引用次数: 0

Abstract

In this article we study covering spaces of symplectic toric orbifolds and symplectic toric orbifold bundles. In particular, we show that all symplectic toric orbifold coverings are quotients of some symplectic toric orbifold by a finite subgroup of a torus. We then give a general description of the labeled polytope of a toric orbifold bundle in terms of the polytopes of the fiber and the base. Finally, we apply our findings to study the number of toric structures on products of labeled projective spaces.

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复盖辛环轨道的空间

本文研究了辛环轨道和辛环轨道束的覆盖空间。特别地，我们证明了所有辛环面覆盖都是某个辛环面与环面的有限子群的商。然后，根据纤维和基底的多面体，给出了环形轨道束的标记多面体的一般描述。最后，我们应用我们的发现来研究标记投影空间乘积上的环形结构的数目。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.