Hilden, Hugh MichaelLozano Imízcoz, María TeresaMontesinos Amilibia, José MaríaApanasov, BorisNeumann, Walter D.Reid, Alan W.Siebenmann, Laurent2023-06-202023-06-2019923-11-012598-6https://hdl.handle.net/20.500.14352/60746Papers from the Research Semester in Low-dimensional Topology held at Ohio State University, Columbus, Ohio, February–June 1990.Continuing their investigation [in Topology '90 (Columbus, OH, 1990), 133–167, de Gruyter, Berlin, 1992;] of the problem of how rarely a hyperbolic orbifold is arithmetic, the authors classify the arithmetic figure eight orbifolds: there are exactly six among the hyperbolic figure eight orbifolds (K,n), n>3. This relies on work by H. Helling, A. C. Kim and J. L. Mennicke ["On Fibonacci groups'', Preprint; per bibl.] and extends a recent result of A. Reid [J. London Math. Soc. (2) 43 (1991), no. 1, 171–184;] that (K,∞) is the only arithmetic knot complement.book partmetadata only access515.162n-fold cyclic covering of the figure eight knotfigure-eight knotorbifoldarithmeticGeometria algebraicaTopología1201.01 Geometría Algebraica1210 Topología