%0 Journal Article
%A Hilden, Hugh Michael
%A Lozano Imízcoz, María Teresa
%A Montesinos Amilibia, José María
%T On the character variety of group representations of a 2-bridge link p/3 into PSL(2,C)
%D 1992
%@ 0037-8615
%U https://hdl.handle.net/20.500.14352/58620
%X Consider the group G of a classical knot or link in S3. It is natural to consider the representations of G into PSL(2,C). The set of conjugacy classes of nonabelian representations is a closed algebraic set called the character variety (of representations of G into PSL(2,C)). If G is the group of a 2-bridge knot or link, then a polynomial results by an earlier published theorem of the authors. This polynomial is related to the Morgan-Voyce polynomials Bn(z), which can be defined by the formulas pn(z)=Bn(z−2), where pn=zpn−1−pn−2, p0=1, p1=z, or(z1−10)n=(pnpn−1−pn−1−pn−2).In this paper the authors do many calculations for classes of 2-bridge knots or links.
%~