A kernel of a braid group representation yields a knot with trivial knot polynomials
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00209-015-1426-7.pdf
Reference11 articles.
1. Bigelow, S.: Does the Jones polynomial detect the unknot? J. Knot Theory Ramif. 11, 493–505 (2002)
2. Burckel, S.: The wellordering on positive braids. J. Pure Appl. Algebra 120, 1–17 (1997)
3. Dehornoy, P.: Alternating normal forms for braids and locally Garside monoids. J. Pure. Appl. Algebra 212, 2413–2439 (2008)
4. Dehornoy, P., Dynnikov, I., Rolfsen, D., Wiest, B.: Ordering Braids, Mathematical Surveys and Monographs, vol. 148. American Mathematical Society (2008)
5. Fenn, R., Greene, M., Rolfsen, D., Rourke, C., Wiest, B.: Ordering the braid groups. Pac. J. Math. 191, 49–74 (1999)
Cited by 5 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. The Burau representation and shapes of polyhedra;Algebraic & Geometric Topology;2024-08-19
2. On the Burau representation of B4;Involve, a Journal of Mathematics;2021-03-04
3. Verification of the Jones unknot conjecture up to 22 crossings;Journal of Knot Theory and Its Ramifications;2018-03
4. Observed Periodicity Related to the Four-Strand Burau Representation;Experimental Mathematics;2017-07-11
5. A Garside-theoretic analysis of the Burau representations;Journal of Knot Theory and Its Ramifications;2017-03-21
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
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3