SURFACE DIAGRAMS WITH AT MOST TWO TRIPLE POINTS-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

SURFACE DIAGRAMS WITH AT MOST TWO TRIPLE POINTS

Published:2012-01 Issue:01 Volume:21 Page:1250013
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

MOHAMAD ABDUL¹,YASHIRO TSUKASA¹

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, P.C. 123 Al-Khoudh, Sultanate of Oman

Abstract

In this paper, we prove that if a surface diagram of a surface-knot has at most two triple points and the lower decker set is connected, then the surface-knot group is isomorphic to the infinite cyclic group.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216511009698

Reference17 articles.

1. Extensions of Quandles and Cocycle Knot Invariants

2. State-sum invariants of knotted curves and surfaces from quandle cohomology

3. Mathematical Surveys and Monographs;Carter J. S.,1998

4. J. S. Carter and M. Saito, Knot Theory 42 (Warzawa Publications, Warsaw, 1998) pp. 29–47.

5. A classifying invariant of knots, the knot quandle

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. No surface-knot of genus one has triple point number two;Journal of Knot Theory and Its Ramifications;2018-10

2. Pseudo-cycles of surface-knots;Journal of Knot Theory and Its Ramifications;2016-11

3. On construction of surface-knots;Journal of Knot Theory and Its Ramifications;2016-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP