The gordian distance of handlebody-knots and alexander biquandle colorings

Tomo Murao

doi:10.2969/jmsj/77417741

The gordian distance of handlebody-knots and alexander biquandle colorings

Tomo Murao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We give lower bounds for the Gordian distance and the un- knotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance n and unknotting num- ber n for any positive integer n.

Original language	English
Pages (from-to)	1247-1267
Number of pages	21
Journal	Journal of the Mathematical Society of Japan
Volume	70
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/77417741
Publication status	Published - 2018
Externally published	Yes

Keywords

Biquandle
Gordian distance
Handlebody-knot
Unknotting number

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/77417741

Cite this

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title = "The gordian distance of handlebody-knots and alexander biquandle colorings",

abstract = "We give lower bounds for the Gordian distance and the un- knotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance n and unknotting num- ber n for any positive integer n.",

keywords = "Biquandle, Gordian distance, Handlebody-knot, Unknotting number",

author = "Tomo Murao",

note = "Publisher Copyright: {\textcopyright} 2018 The Mathematical Society of Japan.",

year = "2018",

doi = "10.2969/jmsj/77417741",

language = "English",

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journal = "Journal of the Mathematical Society of Japan",

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T1 - The gordian distance of handlebody-knots and alexander biquandle colorings

AU - Murao, Tomo

PY - 2018

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N2 - We give lower bounds for the Gordian distance and the un- knotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance n and unknotting num- ber n for any positive integer n.

AB - We give lower bounds for the Gordian distance and the un- knotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance n and unknotting num- ber n for any positive integer n.

KW - Biquandle

KW - Gordian distance

KW - Handlebody-knot

KW - Unknotting number

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The gordian distance of handlebody-knots and alexander biquandle colorings

Abstract

Keywords

ASJC Scopus subject areas

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