RT Book, Section
T1 The arithmeticity of the figure eight knot orbifolds
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 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.
PB Walter de Gruyter & Co
SN 3-11-012598-6
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/60746
UL https://hdl.handle.net/20.500.14352/60746
NO Papers from the Research Semester in Low-dimensional Topology held at Ohio State University, Columbus, Ohio, February–June 1990.
DS Docta Complutense
RD 6 abr 2025