• Title/Summary/Keyword: Rasmussen invariant

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RASMUSSEN INVARIANTS OF SOME 4-STRAND PRETZEL KNOTS

  • KIM, SE-GOO;YEON, MI JEONG
    • Honam Mathematical Journal
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    • v.37 no.2
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    • pp.235-244
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    • 2015
  • 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 ${\sigma}$-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.