Iterated integrals over higher dimensional loops
Differential Geometry
2012-03-19 v1 Algebraic Topology
Abstract
We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which extends Chen's de Rham Theorem for iterated integrals to the membrane case.
Cite
@article{arxiv.1203.3768,
title = {Iterated integrals over higher dimensional loops},
author = {Anton Deitmar and Ivan Horozov},
journal= {arXiv preprint arXiv:1203.3768},
year = {2012}
}