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Classification of ribbon 2-knots of 1-fusion with length up to six

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Abstract We classify oriented ribbon 2-knots of 1-fusion with length up to six. We show the difference by: the Alexander polynomial; the trace set, which is obtained from the representations… Click to show full abstract

Abstract We classify oriented ribbon 2-knots of 1-fusion with length up to six. We show the difference by: the Alexander polynomial; the trace set, which is obtained from the representations of the knot group to SL ( 2 , C ) ; the twisted Alexander polynomial.

Keywords: knots fusion; length six; fusion length; ribbon knots

Journal Title: Topology and its Applications
Year Published: 2020

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