The Grothendieck-Teichmueller Lie algebra and Brown's dihedral moduli spaces
arXiv:1805.06684
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.
arXiv commentVersion 3 repairs a gap caused by a serious error in one of the referenced papers, as well as some other, minor points relating to permutation actions. A clarification of some of the constructions in terms of logarithmic geometry has also been added