Multiple polylogarithms, polygons, trees and algebraic cycles

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dc.creatorGangl, Herbert
dc.creatorGoncharov, Alexander B.
dc.creatorLevin, Andrey
dc.date2005-08-03
dc.date.accessioned2026-07-07T05:22:11Z
dc.date.available2026-07-07T05:22:11Z
dc.descriptionWe construct algebraic cycles in Bloch's cubical cycle group which correspond to multiple polylogarithms with generic arguments. Moreover, we construct out of them a Hopf subalgebra in the Bloch-Kriz cycle Hopf algebra. In the process, we are led to other Hopf algebras built from trees and polygons, which are mapped to the latter. We relate the coproducts to the one for Goncharov's motivic multiple polylogarithms and to the Connes-Kreimer coproduct on plane trees and produce the associated Hodge realization for polygons.
dc.description46 pages, figures use xy-pic
dc.identifierhttps://arxiv.org/abs/math/0508066
dc.identifierhttp://arxiv.org/abs/math/0508066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75964
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14F42
dc.titleMultiple polylogarithms, polygons, trees and algebraic cycles
dc.typetext

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