Formal connections, higher holonomy functors and iterated integrals

Formal connections, higher holonomy functors and iterated integrals
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形式连接、更高完整函子和迭代积分

DOI:
10.1016/j.topol.2021.107985
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发表时间:
2021
影响因子:
0.6
通讯作者:
Toshitake Kohno
Toshitake Kohno
中科院分区:
数学4区
文献类型:
--
作者:
小薗英雄;清水扇丈;柳澤卓;Toshitake Kohno

文献摘要

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本文综述了陈启中提出的基于迭代积分的流形的路径群胚表示为n-范畴的研究进展。我们用形式联络的概念描述了路径群胚和同伦群胚的高完整函子。
This is a review on representations of the pathn-groupoid of a manifold as ann-category based on iterated integrals developed by K.-T. Chen. We describe higher holonomy functors for the pathn-groupoid and the homotopyn-groupoid using the notion of formal connections.