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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

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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 3 Pith papers

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

  1. O-minimal geometry of higher Albanese manifolds

    math.AG 2025-05 conditional novelty 8.0 of 10

    Higher Albanese manifolds and maps are definable in o-minimal structures, and if a higher Albanese manifold of level at least three is algebraic, the tower stabilises at step two, making the pro-unipotent fundamental ...

  2. 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.

  3. 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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