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Grothendieck-Teichmueller group, operads and graph complexes: a survey

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arxiv 1904.13097 v3 pith:PL7QAERP submitted 2019-04-30 math.QA

Sergei Merkulov This is my paper · ORCID
classification math.QA
keywords complexesgraphgrothendieck-teichmuellergroupoperadstheoryassociatorsattempts
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This paper attempts to provide a more or less self-contained introduction into theory of the Grothendieck-Teichmueller group and Drinfeld associators using the theory of operads and graph complexes.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topology of higher Albanese maps and aspherical varieties with nilpotent fundamental group

    math.AG 2026-07 conditional novelty 7.0 of 10

    For aspherical normal complex algebraic varieties, a virtually nilpotent fundamental group is forced to be virtually two-step nilpotent.

  2. M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

    math.QA 2019-08 conditional novelty 6.0 of 10

    For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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