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arXiv · 1805.06684

The Grothendieck-Teichmueller Lie algebra and Brown's dihedral moduli spaces

Johan Alm
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Abstract

We prove that the degree zero Hochschild-type cohomology of the homology operad of Francis Brown's dihedral moduli spaces is equal to the Grothendieck-Teichmueller Lie algebra plus two classes. This significantly elucidates the (in part still conjectural) relation between the Grothendieck-Teichmueller Lie algebra and (motivic) multiple zeta values.

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Johan Alm. 2018-05-17. The Grothendieck-Teichmueller Lie algebra and Brown's dihedral moduli spaces. https://arxiv.org/abs/1805.06684

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