Fibred knots and twisted Alexander invariants

Cha, Jae

doi:10.1090/S0002-9947-03-03348-8

Fibred knots and twisted Alexander invariants
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by Jae Choon Cha PDF

Trans. Amer. Math. Soc. 355 (2003), 4187-4200 Request permission

Abstract:

We study the twisted Alexander invariants of fibred knots. We establish necessary conditions on the twisted Alexander invariants for a knot to be fibred, and develop a practical method to compute the twisted Alexander invariants from the homotopy type of a monodromy. It is illustrated that the twisted Alexander invariants carry more information on fibredness than the classical Alexander invariants, even for knots with trivial Alexander polynomials.

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