论文标题
双层式理论的贝蒂一侧：调查
The Betti side of the double shuffle theory: a survey
论文作者
论文摘要
这是对Arxiv的调查：1803.10151V4，ARXIV：1807.07786V2和ARXIV：1908.0044444V2 H. Furusho和作者。这一系列论文的目的是：（1）证明关联关系意味着双重混合关系，替代Furusho的论文ARXIV：0808.0319V3； （2）在Racinet的双层混合关系的Torsor上明确说明了Bitorsor结构。主要工具是用模量空间的拓扑来解释谐波共同点，$ \ mathfrak m_ {0,4} $和$ \ Mathfrak m_ {0,5} $，在DeLigne和Terasoma的2005年预印本中引入了Betti设置。
This is a survey of arXiv:1803.10151v4, arXiv:1807.07786v2 and arXiv:1908.00444v2 by H. Furusho and the author. The purpose of this series of papers is: (1) to give a proof that associator relations imply double shuffle relations, alternative to Furusho's paper arXiv:0808.0319v3; (2) to make explicit the bitorsor structure on Racinet's torsor of double shuffle relations. The main tool is the interpretation of the harmonic coproduct in terms of the topology of the moduli spaces $\mathfrak M_{0,4}$ and $\mathfrak M_{0,5}$, introduced in Deligne and Terasoma's 2005 preprint, and its extension to the Betti setup.
