The iterated-integral tag has no wiki summary.

**0**

votes

**0**answers

70 views

### Fractional/complex powers of integrals

I'm wondering if there is a way to represent a fractional power of an integral as a function of the integrand in the following sense:
The binomial theorem for complex/fractional exponents represents a ...

**2**

votes

**0**answers

108 views

### Chen's iterated integrals and free loop space

I recently found out about Chen's iterated integrals for paths in a differentiable manifold, and I was wondering if an analogous construction exists for free loops, i.e. a set of variables one ...

**4**

votes

**0**answers

196 views

### Restriction of iterated integrals

For a smooth manifold $X$, let $B_s(X)$ denote the space of iterated integrals of length at most $s$. Here we consider iterated integrals as functions on the path space $PX$. Fix a base point $x_0$ ...

**13**

votes

**3**answers

2k views

### Understanding iterated integrals

I have encountered iterated integrals on papers dealing with multizeta values, polylogarithms etc.. Since then I am trying to figure out the motivations and purpose of the theory.
It seems the ...