Reduced Polynomial of Framed Links in Thickened Torus  

作　　者：Xinming YAN Meng SUN 

机构地区：[1]Department of Mathematics, Guangdong University of Education [2]The China-Russian Joint Training Graduate School, Heilongjiang University

出　　处：《Journal of Mathematical Research with Applications》2018年第1期95-102,共8页数学研究及应用（英文版）

基　　金：Supported by Guangdong Province Innovation Talent Project for Youths(Grant No.2015KQNCX107);Guangdong University of Education Special Fund for Doctoral Research(Grant No.2016ARF06)

摘　　要：Framed links in thickened torus is studied. We give an expression of torus knot in the Kauffman bracket skein algebra. From this expression and using the theory of Gr？bner bases, we drive the reduced polynomial of a framed link, which is an ambient isotopic invariant and can be computed feasibly.Framed links in thickened torus is studied. We give an expression of torus knot in the Kauffman bracket skein algebra. From this expression and using the theory of Gr？bner bases, we drive the reduced polynomial of a framed link, which is an ambient isotopic invariant and can be computed feasibly.

关 键 词：reduced polynomial framed link thickened torus Kauffman bracket skein algebra 

分 类 号：O174.14[理学—数学] S682.11[理学—基础数学]