Twisted Alexander polynomials of tunnel number one Montesinos knots
Abstract
We calculate the twisted Alexander polynomials of all tunnel number one Montesinos knots associated to their SL2(C)-representations and obtain their leading coefficients and degrees. As a corollary, we get some interesting examples, that is, nonfibered knots with monic Alexander polynomials which have non-monic twisted Alexander polynomials.
0