Double shuffle relation for associators
By H. Furusho. 2008
80 citations recorded by the source corpus.
It is proved that Drinfel'd's pentagon equation implies the generalized double shuffle relation. As a corollary, an embedding from the Grothendieck-Teichmuller group $GRT_1$ into Racinet's double shuffle group $DMR_0$ is obtained, which settles the project of Deligne-Terasoma. It is also proved that the gamma factorization formula follows from the generalized double shuffle relation.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/2efda8a40807e3d1a3bfc615879dd8f1510f8d4c
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In Algebra and Number Theory
- F. Brown
- Erik Panzer
- Claude Duhr
- Oliver Schnetz
- Gudrun Heinrich
- Falko Dulat
- Thomas Willwacher
- S. Stieberger
In Discrete Mathematics and Combinatorics
In Geometry and Topology
- F. Brown
- Erik Panzer
- Oliver Schnetz
- Gudrun Heinrich
- Thomas Willwacher
- Mikhail V. Kompaniets
- P. Baikov
- K. Chetyrkin
Citations in the corpus
- Depth-graded motivic multiple zeta values (2013, background): “By Furusho’s theorem [16], it would in turn imply Drinfeld’s conjecture that all relations between (motivic) multiple zeta values are generated by the associator relations.”