Higher Holonomy via a Simplicial Viewpoint
Algebraic Topology
2022-11-15 v2
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.
Keywords
Cite
@article{arxiv.2211.03289,
title = {Higher Holonomy via a Simplicial Viewpoint},
author = {Ryohei Kageyama},
journal= {arXiv preprint arXiv:2211.03289},
year = {2022}
}
Comments
34 pages