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Classification of a family of ribbon 2-knots with trivial Alexander polynomial

Taizo Kanenobu|Toshio Sumi
대한수학회 (The Korean Mathematical Society)|2018.04|대한수학회논문집 (Communications of the KMS)|제33권 제2호|pp. 591-604

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참고문헌

키워드

ribbon 2-knotAlexander polynomialknot grouptwisted Alexander polynomial
주제분류수학

초록

We consider a family of ribbon $2$-knots with trivial Alexander polynomial. We give nonabelian $SL(2, \C)$-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.

Abstract

We consider a family of ribbon $2$-knots with trivial Alexander polynomial. We give nonabelian $SL(2, \C)$-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.

참고문헌 (20)

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