| 简论局部指标定理的证明 |
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| 引用本文： | 虞言林. 简论局部指标定理的证明[J]. 数学研究及应用, 1999, 19(3): 621-626 |
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| 作者姓名： | 虞言林 |
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| 作者单位： | 中国科学院数学研究所 |
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| 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．
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| 关 键 词： | Atiysh－Singer指标定理 热方程 |
| 收稿时间： | 1998-10-04 |
A Brief Remark on a Proof of the Local Index Theorem |
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| YU Yan-lin. A Brief Remark on a Proof of the Local Index Theorem[J]. Journal of Mathematical Research with Applications, 1999, 19(3): 621-626 |
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| Authors: | YU Yan-lin |
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| Affiliation: | Institute of Mathematics; Academia Sinica; Beijing 100080 |
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| Abstract: | 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. |
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| Keywords: | Atiyah-Singer index theorem heat equation |
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