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Mathematics > Algebraic Geometry

arXiv:1807.07786 (math)
[Submitted on 20 Jul 2018 (v1), last revised 26 Feb 2022 (this version, v5)]

Title:The Betti side of the double shuffle theory. II. Double shuffle relations for associators

Authors:Benjamin Enriquez, Hidekazu Furusho
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Abstract:We derive from the compatibility of associators with the module harmonic coproduct, obtained in Part I of the series, the inclusion of the torsor of associators into that of double shuffle relations, which completes one of the aims of this series. We define two stabilizer torsors using the module and algebra harmonic coproducts from Part I. We show that the double shuffle torsor can be described using the module stabilizer torsor, and that the latter torsor is contained in the algebra stabilizer torsor.
Comments: 25 pages; redistribution of the material of the series of papers
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1807.07786 [math.AG]
  (or arXiv:1807.07786v5 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.07786

Submission history

From: Hidekazu Furusho [view email]
[v1] Fri, 20 Jul 2018 10:52:16 UTC (36 KB)
[v2] Fri, 10 Jul 2020 08:57:10 UTC (18 KB)
[v3] Wed, 24 Mar 2021 12:27:29 UTC (19 KB)
[v4] Thu, 8 Jul 2021 01:07:34 UTC (19 KB)
[v5] Sat, 26 Feb 2022 00:29:13 UTC (22 KB)
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