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arXiv · 2211.03289

Higher Holonomy via a Simplicial Viewpoint

Ryohei Kageyama
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Abstract

In this paper, we construct an analogy of holonomy of connection to simplicial sets using A-infinity-categories. To construct it, we develop fiberwise integrals on simplicial sets and define an iterated integral on simplicial sets. It is an analogy to Chen's iterated integral. We also prove an analogy of Stokes's theorem for fiberwise integrals.

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Ryohei Kageyama. 2022-11-07. Higher Holonomy via a Simplicial Viewpoint. https://arxiv.org/abs/2211.03289

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