Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
The Gordian distance of handlebody-knots and Alexander biquandle colorings
Tomo Murao
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Keywords: handlebody-knot, biquandle, Gordian distance, unknotting number
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2018 Volume 70 Issue 4 Pages 1247-1267

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Abstract

We give lower bounds for the Gordian distance and the unknotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance ๐‘› and unknotting number ๐‘› for any positive integer ๐‘›.

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