RT Book, Section
T1 On the Borromean orbifolds: geometry and arithmetic
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
A2 Apanasov, Boris
A2 Neumann, Walter D.
A2 Reid, Alan W.
A2 Siebenmann, Laurent
AB This paper continues earlier work by the authors [see, in particular, H. M. Hilden et al., Invent. Math. 87 (1987), no. 3, 441–456; H. M. Hilden, M. T. Lozano and J. M. Montesinos, in Differential topology (Siegen, 1987), 1–13, Lecture Notes in Math., 1350, Springer, Berlin, 1988;] on universal knots, links and groups, which shows that every closed oriented 3-manifold has the structure of an arithmetic orbifold. Investigating "how rare a flower is an arithmetic orbifold in the garden of hyperbolic orbifolds", the authors produce a three-parameter family B(m,n,p), 3≤m,n,p≤∞, of them with singular set the Borromean rings and show (simultaneously providing an excellent survey on arithmetic hyperbolic groups and orbifolds) that only eleven of its members are arithmetic.
PB Walter de Gruyter & Co
SN 3-11-012598-6
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/60745
UL https://hdl.handle.net/20.500.14352/60745
LA eng
NO Papers from the Research Semester in Low-dimensional Topology held at Ohio State University, Columbus, Ohio, February–June 1990.
NO DGICYT
DS Docta Complutense
RD 24 abr 2025