RT Journal Article
T1 On the arithmetic 2-bridge knots and link orbifolds and a new knot invariant
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB Let (p/q,n) be the 3-orbifold with base S3 and singular set the 2-bridge knot determined by the rational number p/q, with p and q odd and co-prime, and with cone angle 2π/n along the knot. In this paper the authors are interested in when the orbifolds (p/q,n) are hyperbolic and arithmetic. Using characterization theorems for identifying arithmetic Kleinian groups, the authors develop an algorithmic method for determining when the orbifolds (p/q,n) are arithmetic. This is achieved by using the special recursive nature for the presentation of a 2-bridge knot group to construct the representation variety for the fundamental group of the underlying 2-bridge knot. The same argument applies to 2-bridge links with the same cone angle along each component.
PB World Scientific PublCo
SN 0218-2165
YR 1995
FD 1995
LK https://hdl.handle.net/20.500.14352/58634
UL https://hdl.handle.net/20.500.14352/58634
DS Docta Complutense
RD 7 abr 2025