%0 Journal Article
%T Fibred knots and twisted Alexander invariants
%A Jae Choon Cha
%J Mathematics
%D 2001
%I arXiv
%X We introduce a new algebraic topological technique to detect non-fibred knots in the three sphere using the twisted Alexander invariants. As an application, we show that for any Seifert matrix of a knot with a nontrivial Alexander polynomial, there exist infinitely many non-fibered knots with the given Seifert matrix. We illustrate examples of knots that have trivial Alexander polynomials but do not have twisted Alexander invariants of fibred knots.
%U http://arxiv.org/abs/math/0109136v2