Ribbon crossing numbers, crossing numbers, and Alexander polynomials
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DOI: 10.1016/j.topol.2018.07.007
Abstract: Abstract A 2-knot is a surface in R 4 that is homeomorphic to S 2 , the standard sphere in 3-space. A ribbon 2-knot is a 2-knot obtained from m 2-spheres in R 4 by… read more here.
Keywords: numbers crossing; ribbon crossing; knot; ribbon knot ... See more keywords
Crossing numbers of random two-bridge knots
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DOI: 10.1016/j.topol.2018.08.001
Abstract: Abstract In a previous work, the first and third authors studied a random knot model for all two-bridge knots using billiard table diagrams. Here we present a closed formula for the distribution of the crossing… read more here.
Keywords: bridge knots; two bridge; crossing numbers; numbers random ... See more keywords