摘要

The goal of this paper is to give an elementary proof of the double shuffle relations directly for the Goncharov and Manin motivic multiple zeta values. The shuffle relation is straightforward, but for the stuffle, we use a modification of a method first introduced by Cartier for the purpose of proving stuffle for the real multiple zeta values. We will use both the representation of multiple zeta values on the moduli spaces of curve introduced by Goncharov and Manin and we will apply suitable blow-up sequences to the representation of multiple zeta values as integral over a cube.

  • 出版日期2010-3