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math.GT2011
Quantization of the crossing number of a knot diagram
Akio Kawauchi, Ayaka Shimizu
We introduce the warping crossing polynomial of an oriented knot diagram by using the warping degrees of crossing points of the diagram. Given a closed transversely intersected pla…
math.GT2011★ 2 cited
The warping polynomial of a knot diagram
Ayaka Shimizu
We introduce the warping polynomial of an oriented knot diagram. In this paper, we characterize the warping polynomial, and define the span of a knot to be the minimal span of the…