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math.AT2025
Grothendieck-Teichmüller Symmetries of Cyclic Operads and Tangles
Marcy Robertson, Chandan Singh
We identify the profinite Grothendieck-Teichmüller group with the group of homotopy automorphisms of the profinite completion of the cyclic operad of parent…
math.AT2025
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)…