On universal hyperbolic orbifold structures in S3 with the Borromean rings as singularity

被引:0
作者
Hilden, Hugh M. [1 ]
Teresa Lozano, Maria [2 ]
Maria Montesinos-Amilibia, Jose [3 ]
机构
[1] Univ Hawaii, Honolulu, HI 96822 USA
[2] Univ Zaragoza, IUMA, Zaragoza, Spain
[3] Univ Complutense, E-28040 Madrid, Spain
关键词
orbifold; Borromean rings; universal orbifold;
D O I
10.32917/hmj/1291818850
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An orientable 3-orbifold is universal iff every closed, orientable 3-manifold is the underlying space of an orbifold structure that is an orbifold-covering of it. The first known example of universal orbifold was B-4,B-4,B-4 = (S-3, B, 4) where B denotes the Borromean rings and all the isotropy groups are cyclic of order 4. The main result in this article is that the hyperbolic orbifold B-m,B-2p,B-2q is universal for every m >= 3, p >= 2, q >= 2.
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页码:357 / 370
页数:14
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