JOURNAL ARTICLE

关于Atiyah-Singer指标定理的随机方法证明

Haoran Zhao

Year: 2013 Journal:   Scientia Sinica Mathematica Vol: 43 (6)Pages: 599-611   Publisher: Science China Press

Abstract

According to Watanabe [6], by generalized Wiener functional we could give a simple stochastic proof of the index theorem for twisted Dirac operator (the Atiyah-Singer index theorem) on Clifford module.

Keywords:
Mathematics Computer science Philosophy

Metrics

0
Cited By
0.00
FWCI (Field Weighted Citation Impact)
36
Refs
0.15
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Topics

Advanced Operator Algebra Research
Physical Sciences →  Mathematics →  Mathematical Physics
Algebraic and Geometric Analysis
Physical Sciences →  Mathematics →  Applied Mathematics
Advanced Topics in Algebra
Physical Sciences →  Mathematics →  Algebra and Number Theory

Related Documents

JOURNAL ARTICLE

关于Wente定理和Lemaire定理的纯分析证明

海祥 徐

Journal:   Chinese Science Bulletin (Chinese Version) Year: 1991 Vol: 36 (13)Pages: 1037-1037
JOURNAL ARTICLE

基于机载标识目标的高速相机标定方法

刘泽庆 Liu Zeqing许勇 Xu Yong杜博军 Du Bojun王亚林 Wang Yalin

Journal:   Laser & Optoelectronics Progress Year: 2023 Vol: 60 (14)Pages: 1428007-1428007
JOURNAL ARTICLE

两指标Poisson型随机微分方程强解的比较定理

雄 陈

Journal:   Chinese Science Bulletin (Chinese Version) Year: 1989 Vol: 34 (12)Pages: 881-884
JOURNAL ARTICLE

基于特征列方法和Wronskian行列式的曲面定理机器证明

如勇 冯建平 于

Journal:   Science in China Series A-Mathematics (in Chinese) Year: 2008 Vol: 38 (5)Pages: 556-566
© 2026 ScienceGate Book Chapters — All rights reserved.