RASMUSSEN INVARIANTS OF SOME 4-STRAND PRETZEL KNOTS

RASMUSSEN INVARIANTS OF SOME 4-STRAND PRETZEL KNOTS

It is known that there is an infinite family of general pretzel knots, each of which has Rasmussen s-invariant equal to the negative value of its signature invariant. For an instance, homologically σ-thin knots have this property. In contrast, we find an infinite family of 4-strand pretzel knots who...

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Veröffentlicht in:Honam mathematical journal 2015-06, Vol.37 (2), p.235-244
Hauptverfasser: KIM, SE-GOO, YEON, MI JEONG
Format: Artikel
Sprache:kor
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Zusammenfassung:It is known that there is an infinite family of general pretzel knots, each of which has Rasmussen s-invariant equal to the negative value of its signature invariant. For an instance, homologically σ-thin knots have this property. In contrast, we find an infinite family of 4-strand pretzel knots whose Rasmussen invariants are not equal to the negative values of signature invariants.
ISSN:1225-293X