纽结Jones多项式根的性质  

Zeros of properties the Jones polynomial for knots

作　　者：韩友发[1] 赵璐莹 赵晓然 王英姣 HAN You-fa ,ZHAO Lu-ying ,ZHAO Xiao-ran, WANG Ying-jiao(School of Mathematics, Liaoning Normal University, Dalian 116029, China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《吉林师范大学学报（自然科学版）》2018年第3期36-40,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11471151)

摘　　要：研究了链环和纽结的Jones多项式性质和根分布.利用环链的Jones多项式的某些性质和正弦、余弦函数的性质给出:当n≤5时,单位根e2p+1/nπi不是环面结T_(p,q)(其中(p,q)=1)的Jones多项式的零点.The properties of Jones polynomial of knots and links and their zero points distributions were studied.It concluded that unit roots were not the zeros of the Jones polynomial for torus knots Tp,q（ while（ p,q） =1） by using some properties of the Jones polynomial for knots and the related knowledge of sine and consine function.

关 键 词：JONES多项式 环面结 零点 

分 类 号：O189.3[理学—数学]