三维流形不变量及其计算

Invariants of 3-manifold and their calculation

研究了三维流形ML不变量的性质,特别是三维流形不变量的表示和它们的计算,其中ML在S3中沿标架链环(L,f)做手术得到的可定向的三维流形,对于合痕K+和K-变换保持不变.主要是利用Jones-Kauffman模和Temperley-Lieb代数给出三维流形不变量的表示以及变量A在第2p(p是素数)个单位根时不变量的值.

In this paper,let the ML denote the oriented 3-manifold obtained by surgery on framed link （L,f） in Sa ,which is preserved by isotopy and moves K＋and K-. We discuss the properties of invar- iants for 3-manifold ML, specially their expression and their calculation. We give the expression of in- variant of 3-manifold by using Jones-Kauffman module and Temperley-Lieb algebra and computation of some invariant at the 2p （p is prime） unit root.