No surface-knot of genus one has triple point number two

A. Al Kharusi; Tsukasa Yashiro

doi:10.1142/S0218216518500633

No surface-knot of genus one has triple point number two

A. Al Kharusi, Tsukasa Yashiro

Mathematics & Statistics

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

It is known that there is no 2-knot with triple point number two. The present paper shows that there is no surface-knot of genus one with triple point number two.

Original language	English
Journal	Journal of Knot Theory and its Ramifications
DOIs	https://doi.org/10.1142/S0218216518500633
Publication status	Accepted/In press - Jan 1 2018

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Keywords

Diagram
surface-knot
t -minimal
triple point number

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

Al Kharusi, A., & Yashiro, T. (Accepted/In press). No surface-knot of genus one has triple point number two. Journal of Knot Theory and its Ramifications. https://doi.org/10.1142/S0218216518500633

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Access to Document

10.1142/S0218216518500633