• Corpus ID: 119731329

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

  title={The Grothendieck-Teichmueller Lie algebra and Brown's dihedral moduli spaces},
  author={J. Alm},
  journal={arXiv: Quantum Algebra},
  • J. Alm
  • Published 17 May 2018
  • Mathematics
  • arXiv: Quantum Algebra
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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