Multiple zeta values and periods of moduli spaces \(\bar {\mathfrak M}_{0,n}\).

DOI10.1016/j.crma.2006.04.016zbMath1105.11019OpenAlexW2425943557MaRDI QIDQ2499707

Francis C. S. Brown

Publication date: 14 August 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.04.016

zbMATH Keywords

periodsgeometry of moduli spacesunramified mixed Tate motives

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Polylogarithms and relations with (K)-theory (11G55) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Tales of 1001 gluons ⋮ Iterated integrals, multiple zeta values and Selberg integrals ⋮ Signed $q$-analogs of Tornheim's double series ⋮ The iterated structure of the all-order result for the two-loop sunrise integral ⋮ The massless higher-loop two-point function ⋮ Multiparticle one-loop amplitudes and S-duality in closed superstring theory ⋮ Polylogarithms, multiple zeta values and superstring amplitudes

Cites Work

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• Current algebras and Wess-Zumino model in two dimensions
• Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\)
• The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation
• Single-valued multiple polylogarithms in one variable
• The irreducibility of the space of curves of a given genus
• Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
• Multiple zeta values: an introduction

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