RASMUSSEN INVARIANTS OF SOME 4-STRAND PRETZEL KNOTS

• Journal title : Honam Mathematical Journal
• Volume 37, Issue 2,  2015, pp.235-244
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2015.37.2.235
Title & Authors
RASMUSSEN INVARIANTS OF SOME 4-STRAND PRETZEL KNOTS
KIM, SE-GOO; YEON, MI JEONG;

Abstract
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 $\small{{\sigma}}$-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.
Keywords
Rasmussen invariant;knot signature;pretzel knot;
Language
English
Cited by
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