期刊论文详细信息
Proceedings of the Edinburgh Mathematical Society | |
ON BRANCHED COVERINGS OF LENS SPACES | |
Elena Barbieri1  | |
[1] Fulvia Spaggiari | |
关键词: 3-manifold; group presentation; railroad system (RR-system); spine; polyhedral representation; branched covering; | |
DOI : 10.1017/S0013091502001050 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
We construct some series of polyhedral schemata which represent orientable closed connected 3-manifolds. We show that these manifolds have spines corresponding to certain balanced presentations of their fundamental groups. Then we study some covering properties of such manifolds and prove that many of them are cyclic branched coverings of lens spaces. Our theorems contain a number of published results from various sources as particular cases.AMS 2000 Mathematics subject classification: Primary 57M12; 57M50; 57M60
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040531329ZK.pdf | 295KB | download |