RT Journal Article
T1 On universal hyperbolic orbifold structures in S3 with the Borromean rings as singularity
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB A link in S3 is called a universal link if every closed orientable 3-manifold is a branched cover of S3 over this link. It is well known that the Borromean rings and many other links are universal links. The question whether a link is universal can be naturally extended to orbifolds. An orbifold M is said to be universal if every closed orientable 3-manifold is the underlying space of an orbifold which is an orbifold covering of M.    Let Bm,n,p denote the orbifold whose underlying space is S3, whose singular set is the Borromean rings B, and whose isotropy groups for the three components of B are cyclic groups of orders m, n and p. In an earlier paper of H. M. Hilden et al. [Invent. Math. 87 (1987), no. 3, 441–456;], it was shown that B4,4,4 is universal. In this paper, the authors generalize this result and prove that Bm,2p,2q is universal for every m≥3, p≥2, q≥2.
PB Hiroshima University. Faculty of Science
SN 0018-2079
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/43852
UL https://hdl.handle.net/20.500.14352/43852
LA eng
NO MTM
DS Docta Complutense
RD 17 abr 2025