| In this paper, we mainly study the tree shape link and the head and tail con-nected string shape link'sθp (ML) invariants, so we prove a more common in-variants of three dimensional manifold. First, we used quadratic form of rela-ted theory to calculate b+(L), b<sub>L, so we has calculated the invariants ofθp(ML)'s denominator＜t(Ωp)＞b+(L)＜t-1(Ωp)＞b<sub>L. Second, in this paperwe prove the invariantsθp (ML) of the head and tail connected string shape linkaccording to Kirby Calculus, and using the proof method of professor Liqi-sheng. So we complete the calculation the invariantsθp (ML) of the head andtail connected string shape link. |
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