# Iterated integral and the loop product

## TL;DR

This paper explores the connection between string topology and differential forms using Chen's iterated integrals and the cyclic bar complex, providing new insights into the algebraic structures underlying loop spaces.

## Contribution

It introduces a novel relationship between string topology operations and iterated integrals within the framework of the cyclic bar complex.

## Key findings

- Establishes a link between string topology and differential forms.
- Provides a new algebraic perspective on loop space operations.
- Enhances understanding of Chen's iterated integrals in topology.

## Abstract

In this article we discuss a relation between the string topology and differential forms based on the theory of Chen's iterated integrals and the cyclic bar complex.