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• W2963441533 abstract "For a fibered knot in the 3-sphere the twisted Alexander polynomial associated to an SL(2, ℂ)-character is known to be monic. It is conjectured that for a nonfibered knot there is a curve component of the SL(2, ℂ)-character variety containing only finitely many characters whose twisted Alexander polynomials are monic, i.e. finiteness of such characters detects fiberedness of knots. In this paper, we discuss the existence of a certain curve component which relates to the conjecture when knots have nonmonic Alexander polynomials. We also discuss the similar problem of detecting the knot genus." @default.
• W2963441533 created "2019-07-30" @default.
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• W2963441533 date "2013-03-01" @default.
• W2963441533 modified "2023-10-03" @default.
• W2963441533 title "TWISTED ALEXANDER POLYNOMIALS ON CURVES IN CHARACTER VARIETIES OF KNOT GROUPS" @default.
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• W2963441533 doi "https://doi.org/10.1142/s0129167x13500225" @default.
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