Synthetic Differential Geometry of Chen's Iterated Integrals
Differential Geometry
2014-11-11 v5
Abstract
Chen's iterated integrals are treated within synthetic differential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces.
Keywords
Cite
@article{arxiv.1406.0075,
title = {Synthetic Differential Geometry of Chen's Iterated Integrals},
author = {Hirokazu Nishimura},
journal= {arXiv preprint arXiv:1406.0075},
year = {2014}
}