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.
- Pub Date:
- May 2018
- Mathematics - Quantum Algebra;
- Mathematics - Algebraic Geometry
- Version 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