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Mathematics > Quantum Algebra

arXiv:1805.06684 (math)
[Submitted on 17 May 2018 (v1), last revised 23 Aug 2018 (this version, v3)]

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

Authors: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.
Comments: 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
Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG)
Cite as: arXiv:1805.06684 [math.QA]
  (or arXiv:1805.06684v3 [math.QA] for this version)
  https://doi.org/10.48550/arXiv.1805.06684

Submission history

From: Johan Alm [view email]
[v1] Thu, 17 May 2018 10:29:37 UTC (234 KB)
[v2] Sat, 2 Jun 2018 17:16:06 UTC (352 KB)
[v3] Thu, 23 Aug 2018 18:11:38 UTC (38 KB)
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