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- W4300772720 abstract "We give a counterexample to the Kawauchi conjecture on the Conway polynomial of achiral knots which asserts that the Conway polynomial $C(z)$ of an achiral knot satisfies the splitting property $C(z)=F(z)F(-z)$ for a polynomial $F(z)$ with integer coefficients. We show that the Bonahon-Siebenmann decomposition of an achiral and alternating knot is reflected in the Conway polynomial. More explicitly, the Kawauchi conjecture is true for quasi-arborescent knots and counterexamples in the class of alternating knots must be quasi-polyhedral." @default.
- W4300772720 created "2022-10-04" @default.
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- W4300772720 date "2011-06-28" @default.
- W4300772720 modified "2023-09-27" @default.
- W4300772720 title "On the Kawauchi conjecture about the Conway polynomial of achiral knots" @default.
- W4300772720 doi "https://doi.org/10.48550/arxiv.1106.5634" @default.
- W4300772720 hasPublicationYear "2011" @default.
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