Goncharov's motivic iterated-integral isomorphism conjecture

The motivic Hopf algebra ${\cal A}_{\bullet}(F)$ is built from motivic iterated integrals, and the map in the source identifies the corresponding motivic iterated-integral construction with ${\cal A}_{\bullet}(F)$. Goncharov's motivic iterated-integral isomorphism conjecture. The map is an isomorphism of ${\Bbb Q}$-vector spaces. This expresses the expectation that passing from ordinary iterated integrals to motivic iterated integrals does not lose information.