A purely topological argument via semi-holonomy isomorphisms and multiplicative convolution shows that the homological pentagon equation implies the regularized double shuffle relations for multiple zeta values.
Reduced coaction Lie alge bra, double shuffle Lie al- gebra and noncommutative krv2 equation
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Proves dmr0 with hexagon equation injects into symmetric krv^sym_2 via brunnian braids on genus 0 surfaces, with two generalizations to lower central series and maps linking pentagon, stuffle, divergence, and necklace operations.
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Multiplicative convolution and double shuffle relations
A purely topological argument via semi-holonomy isomorphisms and multiplicative convolution shows that the homological pentagon equation implies the regularized double shuffle relations for multiple zeta values.
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Brunnian braids and the inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra
Proves dmr0 with hexagon equation injects into symmetric krv^sym_2 via brunnian braids on genus 0 surfaces, with two generalizations to lower central series and maps linking pentagon, stuffle, divergence, and necklace operations.