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Multiple zeta-motives and moduli spaces M_{0,n}

A. B. Goncharov·Yu. I. Manin
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Abstract

We give a natural construction of unramified over Z framed mixed Tate motives, whose periods are the multiple zeta values. Namely, for each convergent multiple zeta-value we define two boundary divisors A and B in the moduli space M_{0,n+3} of stable curves of genus zero. The corresponding multiple zeta-motive is the n-th cohomology of the pair (M_{0,n+3} -A,B).

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A. B. Goncharov, Yu. I. Manin. 2002-04-25. Multiple zeta-motives and moduli spaces M_{0,n}. https://arxiv.org/abs/math/0204102

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