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

^*Corresponding author for this work

Mathematics & Statistics

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

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

Keywords

Diagram
surface-knot
t -minimal
triple point number

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216518500633

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title = "No surface-knot of genus one has triple point number two",

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.",

keywords = "Diagram, surface-knot, t -minimal, triple point number",

author = "{Al Kharusi}, A. and Tsukasa Yashiro",

year = "2018",

month = jan,

day = "1",

doi = "10.1142/S0218216518500633",

language = "English",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

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T1 - No surface-knot of genus one has triple point number two

AU - Al Kharusi, A.

AU - Yashiro, Tsukasa

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Diagram

KW - surface-knot

KW - t -minimal

KW - triple point number

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U2 - 10.1142/S0218216518500633

DO - 10.1142/S0218216518500633

M3 - Article

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JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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