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 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.展开更多
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)
文摘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.