7 citations · 8 across the 11 of their papers we have counts for
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Operadic twisting as an adjunction
Guillaume Laplante-Anfossi, Adrian Petr, Vivek Shende
For operads with a map from the curved homotopy Lie operad, we introduce a corresponding curved variant `cTw' of Willwacher's operadic twisting comonad `Tw'. We show that cTw-coalg…
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)…
A universal characterization of the curved homotopy Lie and associative operads
Guillaume Laplante-Anfossi, Adrian Petr, Vivek Shende
We study the category of nonsymmetric dg operads valued in strict graded-mixed complexes, equipped with a distinguished arity zero weight one element which generates the weight gra…
Steenrod operations via higher Bruhat orders
Guillaume Laplante-Anfossi, Nicholas J. Williams
The purpose of this paper is to establish a correspondence between the higher Bruhat orders of Yu. I. Manin and V. Schechtman, and the cup- coproducts defining Steenrod squares…
Topological proofs of categorical coherence
Pierre-Louis Curien, Guillaume Laplante-Anfossi
We give a short topological proof of coherence for categorified non-symmetric operads by using the fact that the diagrams involved form the 1-skeleton of simply connected CW comple…
The diagonal of the multiplihedra and the tensor product of A-infinity morphisms
Guillaume Laplante-Anfossi, Thibaut Mazuir
We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule…
The diagonal of the operahedra
Guillaume Laplante-Anfossi
The primary goal of this article is to set up a general theory of coherent cellular approximations of the diagonal for families of polytopes by developing the method introduced by…