Hopf环链的Jones多项式的微分性质  

The differential properties of Jones Polynomial of Hopf links

作　　者：韩友发[1] 阎舒[1] 常乐[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《大连民族学院学报》2008年第5期429-431,共3页Journal of Dalian Nationalities University

基　　金：国家自然科学基金资助项目(10771023);辽宁省教育厅资助项目(05L208)

摘　　要：利用纽结的Jones多项式的性质来研究由n个平凡纽结按照Hopf环链方式构成的环链的多项式的微分性质。讨论了环链L的Jones多项式V(L;t)以及在Jones多项式基础上定义的几个L的多项式不变量X(L;t),Φ(L;t)的基本性质;求k阶导数,并研究它们在t=1时的整除性质。这些性质的研究将有利于讨论三维流形不变量的性质。This paper mainly discusses the differential properties of the Jones polynomial of Hopf links which are consist of some trivial knots by using the properties of Jones polynomial of knots.The V(L;t) of the Jones polynomial of a link L and some other polynomial invariants X(L;t),Φ(L;t) of link L which are based on the Jones polynomial are discussed.K exponent derivative is calculated and their divisibility when t=1 is investigated.The study is beneficial to the discussion of in 3-manifold invarints.

关 键 词：纽结 Hopf环链 JONES多项式 不变量 

分 类 号：O189.3[理学—数学]