Realizations of Seifert matrices by hyperbolic knots
classification
🧮 math.GT
keywords
matrixseifertknothyperbolics--equivalentapplyingblanchfieldfact
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Recently Kearton showed that any Seifert matrix of a knot is S--equivalent to the Seifert matrix of a prime knot. We show in this note that such a matrix is in fact S--equivalent to the Seifert matrix of a hyperbolic knot. This result follows from reinterpreting this problem in terms of Blanchfield pairings and by applying results of Kawauchi.
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