【摘要】 该文主要研究某些具体类链环确定的三维流形不变量的计算.设M_L表示在S~3中沿着标架链环(L,f)进行手术后得到的可定向三维流形,对于标架链环进行同痕、K_+和K_-变换后得到了链环不变量,进而得到三维流形ML的不变量.给出了某类广义树状链环T_G和链环L_G确定的Blanchet型三维流形不变量的计算公式.更多还原

【Abstract】 This paper mainly analyzes the calculation of invariants for 3-manifold defined by some links.Suppose M_L represents the orientable 3-manifold obtained by surgery on S~3 along the framed link(L,f),the authors get the link invariant after isotopy,K_+ move and K_-move for the framed link.Then the invariants of 3-manifold M_L are obtained.This paper studies the two calculated formulas of Blanchet shaped invariants for 3-manifold defined by certain generalized tree links T_G and links L_G,provides several methodologies and perspectives for the further study of 3-manifold invariants derived from link theory.更多还原