简论局部指标定理的证明

A Brief Remark on a Proof of the Local Index Theorem

中文关键词:  Atiysh－Singer指标定理  热方程

英文关键词:Atiyah-Singer index theorem  heat equation

中文摘要:

      本文描述一个形式算法（即Diana算法）来证明Dirac算子的局部指标定理，并指出算法的魔力需附上一个逻辑的证明，在这种理解下，可看出Getzler的证明有一些缺陷．

英文摘要:

      The paper describes a formal algorithm (i. e., Diana algorithm) to prove the local index theorem for Dirac operator, and points out that the magic power of the algorithm needs a logical ground attached. On this understanding we could see that there are several gaps in the Getzler's proof.