3 papers
math.AT2026
Cyclic Symmetries of Chord Diagrams
Chandan Singh
We give a direct proof that the proalgebraic graded Grothendieck-Teichmüller group is isomorphic to the group of automorphisms of the prounipotent cycl…
math.AT2026
Genus Zero Kashiwara-Vergne Solutions from Braids
Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi +2
Using the language of moperads -- monoids in the category of right modules over an operad -- we reinterpret the Alekseev--Enriquez--Torossian construction of Kashiwara--Vergne (KV)…
math.AT2025
Grothendieck--Teichmüller Symmetries of Cyclic Operads and Tangles
Marcy Robertson, Chandan Singh
We characterise the profinite Grothendieck-Teichmüller group as the group of automorphisms of the profinite completion of a cyclic operad of parenthesised…