ON BRANCHED COVERINGS OF LENS SPACES

Proceedings of the Edinburgh Mathematical Society

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