纤维丛:万物之理  

Fiber bundles: the principle of everything

作　　者：朱宏伟[1] ZHU Hongwei(School of Materials Science and Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学材料学院,北京100084

出　　处：《自然杂志》2023年第3期234-238,共5页Chinese Journal of Nature

基　　金：国家自然科学基金面上项目(52172046)。

摘　　要：纤维丛是一门研究复杂系统的数学理论,用于描述许多深刻的数学和物理现象,已广泛应用在微分几何、拓扑学、物理学和信息学等领域。文章简述了纤维丛的起源、基本概念和理论基础,结合实例介绍了其在多个领域的应用。Fiber bundles theory is a mathematical tool to study complex systems and describes profound mathematical and physical phenomena.It has been widely applied in variousfields such as differential geometry,topology,physics,and informatics.This article provides a brief overview of the origin,fundamental concepts,and theoretical foundations offiber bundles theory,and showcases its applications in multiple domains through examples.

关 键 词：纤维丛 微分几何 拓扑 规范场 神经网络 

分 类 号：O186.1[理学—数学]