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June 1, 2024Journal of Knot Theory and Its Ramifications0 citationsOpen Access

On the 3-loop polynomial of genus 1 knots with trivial Alexander polynomial

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KYKouki Yamaguchi

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Abstract

We give a restriction of the set of possible values of the 3-loop polynomials of genus 1 knots with trivial Alexander polynomial. As a special case, we present the 3-loop polynomial of any genus 1 knot with trivial Formula: see text-loop polynomials by using five Vassiliev invariants of the knot. Further, we give a new example of the calculation of the 3-loop polynomial.

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Cite This Study

Kouki Yamaguchi (2024) studied this question.

synapsesocial.com/papers/68e674d9b6db6435875ff158https://doi.org/10.1142/s0218216524500238
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