|Oct 04, 2018
Riley polynomial is defined for some kind of a presentation of 2-bridge link groups.
Any zero of this polynomial is corresponding to a parabolic representation in SL(2;C).
If there exists epimorphism between link groups, then Riley polynomial of the source can be divided by the one of the target.
In this talk we prove that there exists an epimorphism if the above relation between Riley polynomials holds.