A moperadic approach to cyclotomic associators
Damien Calaque, Martin Gonzalez
TL;DR
This paper introduces a (m)operadic framework to describe Enriquez's torsor of cyclotomic associators and its related cyclotomic Grothendieck-Teichmüller groups, offering a new algebraic perspective.
Contribution
It provides the first operadic and moperadic descriptions of cyclotomic associators and their symmetry groups, extending the algebraic understanding of these structures.
Findings
Operadic description of cyclotomic associators
Moperadic framework for associated groups
Enhanced algebraic understanding of cyclotomic structures
Abstract
This is a companion paper to "Ellipsitomic associators". We provide a (m)operadic description of Enriquez's torsor of cyclotomic associators, as well as of its associated cyclotomic Grothendieck-Teichm\"uller groups.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models