23 citations · 127 across the 26 of their papers we have counts for
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math.AT2017★ 18 cited
Operads of genus zero curves and the Grothendieck-Teichmüller group
Pedro Boavida de Brito, Geoffroy Horel, Marcy Robertson
We show that the group of homotopy automorphisms of the profinite completion of the genus zero surface operad is isomorphic to the (profinite) Grothendieck-Teichmüller group. Using…
math.AT2017★ 16 cited
Mixed Hodge structures and formality of symmetric monoidal functors
Joana Cirici, Geoffroy Horel
We use mixed Hodge theory to show that the functor of singular chains with rational coefficients is formal as a lax symmetric monoidal functor, when restricted to complex schemes w…
math.AT2017
On two chain models for the gravity operad
Clément Dupont, Geoffroy Horel
In this note we recall the construction of two chain level lifts of the gravity operad, one due to Getzler-Kapranov and one due to Westerland. We prove that these two operads are f…