An Algorithm of Witten's Invariants of Some 3-manifolds

In this paper, I give out an algorithm of the witten' s invariants of the 3-manifolds obtained by surgery on the links whose corresponding graphs may be no longer trees.

Morse不等式的一个新证明

用Witten形变理论在带边微分流形上给出Morse不等式一个新的证明方法.首先,说明了相切型Morse函数很自然地与带边流形的Hodge理论相结合;然后,利用Witten形变给出算子ΔT在临界点的性态,进而证明了定理.