Algebraically Concordant Seifert Forms And Knot Concordance

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY(2020)

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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 circle plus V that is not concordant to any knot with Seifert form V.
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Key words
Concordance, Seifert forms, von-Neumann rho((2))-invariants
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