Motivic coaction and single-valued map of polylogarithms from zeta generators
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Date
2024-08-02
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Journal Article
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Abstract
We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, the appearance of multiple zeta values is controlled by conjugating generating series of polylogarithms with Lie-algebra generators associated with odd zeta values. Our reformulation of earlier constructions of coactions and single-valued polylogarithms preserves choices of fibration bases, exposes the correlation between multiple zeta values of different depths and paves the way for generalizations beyond genus zero.
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published
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Volume
57 (31)
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Publisher
IOP Publishing
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Subject
single-valued map; polylogarithms; multiple zeta values; motivic coaction
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03657 - Gaberdiel, Matthias / Gaberdiel, Matthias