期刊文献+

排叉结琼斯多项式根的分布

Zeros Distributions of the Jones Polynomial for Pretzel Knots
下载PDF
导出
摘要 首先根据排叉结p(c)1,c2,c3的琼斯多项式计算给出排叉结p(k,k,l)的琼斯多项式,然后令k固定,l→∞,得到排叉结p(k,k,l)的零点分布. In this paper,we compute the Jones polynomial of the pretzel links p(k,k,l)by the Jones polynomial of the pretzel links p(c1,c2,c3),then one can get the zeros properties of the pretzel links p(k,k,l)while it makes k is fixed and l tend to be infinite.
作者 韩友发 孙思宇 孙艺丹 王英姣 HAN You-fa;SUN Si-yu;SUN Yi-dan;WANG Ying-jiao(School of Mathematics,Liaoning Normal University,Dalian,Liaoning 116029,China)
出处 《通化师范学院学报》 2019年第2期16-19,共4页 Journal of Tonghua Normal University
基金 国家自然科学基金项目(11471151)
关键词 琼斯多项式 零点 排叉结 Jones polynomial Zeros Pretzel knot
  • 相关文献

参考文献1

二级参考文献9

  • 1ALEXANDER J W. Topological invariants of knots and links[J]. Trans Amer Math Soci, 1928, 30(2): 275-306.
  • 2JONES V F R. Hecke algebra representations of braid groups and Lpolynomials[J]. Annals of Math, 198, 126: 335-388.
  • 3LOUIS H, KAUFFMAN. New invariants in the theory of knots[J]. AMM, 1988, 95(3): 195-242.
  • 4EUNJU Lee, SAND Youl Lee, SEO Myoungsoo. A Recursive formula for the Jones polynomial of 2-bridge links and applications[J]. J Korean Math Soc, 2009, 46(5): 919-947.
  • 5JIN Xian-an, ZHANG Fu-ji. Zeros of the Jones polynomials for families of pretzel links[J]. Phys A, 2003 328(3-4): 391-408.
  • 6LANDVOY R A. The Jones polynomial of pretzel knots and links[J]. Topology and its Applications, 1998 83: 135-147.
  • 7WU F, WANG J. Zeros of the Jones polynomials[J]. Phys A, 2001, 296(3-4): 483-494.
  • 8TAO Zhi-xiong. On the roots of Jones polynomial[J]. Chinese Annals of Mathematics, 2013, 32A(1): 63-70.
  • 9HAN You-fa YAN Xin-ming LV Li-li.The Colored Jones Function[J].Chinese Quarterly Journal of Mathematics,2012,27(1):87-91. 被引量:1

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部