RT Journal Article
T1 Peripheral polynomials of hyperbolic knots
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB If K is a hyperbolic knot in S3, an algebraic component of its character variety containing one holonomy of the complete hyperbolic structure of finite volume of S3∖K is an algebraic curve K. The traces of the peripheral elements of K define polynomial functions in K, which are related in pairs by polynomials (peripheral polynomials). These are determined by just two adjacent peripheral polynomials. The curves defined by the peripheral polynomials are all birationally equivalent to K, with only one possible exception. The canonical peripheral polynomial relating the trace of the meridian with the trace of the canonical longitude of K is a factor of the A-polynomial.
PB Elsevier Science
SN 0166-8641
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50759
UL https://hdl.handle.net/20.500.14352/50759
LA eng
DS Docta Complutense
RD 8 abr 2025