Algebraically concordant Seifert forms and knot concordance
Commun. Korean Math. Soc.
Published online January 22, 2020
Taehee Kim
Konkuk University
Abstract : We show that if $M$ and $V$ are Seifert forms such that $M$ is metabolic and the Alexander polynomial of $M$ is nontrivial, then there exists a knot $K$ which has Seifert form $M\oplus V$ but is not concordant to any knot with Seifert form $V$.
Keywords : Concordance, Seifert forms, von-Neumann $\rho$-invariants
MSC numbers : 57N70, 57M25
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