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Little disks operad and $Gal (\bar {Q}/Q)$

A short answer would be: $Gal(\overline{\mathbb{Q}}/\mathbb{Q})$ acts faithfully on the profinite fundamental groupoïd of the operad of little discs. If $X$ is an algebraic variety over $\mathbb{Q}$ …
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8 votes

Shuffle Hopf algebra: how to prove its properties in a slick way?

Suppose $V$ is a free $k$-module with base $X = \{x_i,i\in I\}$. I like to take as a definition of the shuffle algebra $Sh(X)$ that it is the topological dual of the Hopf algebra $k\langle\langle X\ …
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