4 papers
Cyclic reflections and the flip equation for the graded Grothendieck-Teichmüller group
Chandan Singh
Furusho, Hirose and Komiyama reformulated the pentagon equation using an involution called the flip, which led to a new characterisation of the graded Grothendieck-Teichmüller grou…
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 cycli…
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…
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)…