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Showing 1 to 3 of 3 for “"Pretzel knots"”.
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Slice implies mutant ribbon for odd 5-stranded pretzel knots
… holds for the infinite family of odd 3-stranded pretzel knots. In their work, they give a complete characterization of the slice/ribbon knots in that infinite family. This dissertation is motivated by their work and proves that the family of odd 5-stranded pretzel knots satisfiesa weaker version …
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A recursive formula for the Khovanov cohomology of a family of 3-stranded pretzel knots
… formula for the class of three-stranded pretzel knots P(-n,-m,m), where n and m are odd. This result shows that the rank of the Khovanov cohomology of P(-n-m,m) is an invariant of n.
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Relative Khovanov-Jacobsson Classes for Spanning Surfaces
… these are pairs of distinct slice disks for pretzel knots, and the first known examples of pairs of Seifert surfaces of equal genus for links in the 3-sphere that remain distinct when pushed into the 4-ball.</p>