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Algebraically concordant Seifert forms and knot concordance

김태희
대한수학회 (The Korean Mathematical Society)|2020.07|대한수학회논문집 (Communications of the KMS)|제35권 제3호|pp. 1037-1043|DOI 10.4134/CKMS.c190329

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참고문헌

키워드

ConcordanceSeifert formsvon-Neumann $\rhot$-invariants
주제분류수학

초록

We show that if $M$ and $V$ are Seifert forms such that $M$ is metabolic and has nontrivial Alexander polynomial, then there exists a knot $K$ having Seifert form $M\oplus V$ that is not concordant to any knot with Seifert form $V$.

Abstract

We show that if $M$ and $V$ are Seifert forms such that $M$ is metabolic and has nontrivial Alexander polynomial, then there exists a knot $K$ having Seifert form $M\oplus V$ that is not concordant to any knot with Seifert form $V$.

참고문헌 (15)

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