Thomas Willwacher

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math.AT2024

Rational homotopy theory of operad modules through colored operads

Thomas Willwacher

We extend the rational homotopy theory of operads developed by B. Fresse to several types of modules over operads.

math.AT2024

Cyclic operads through modules

Thomas Willwacher

We describe a way to compute mapping spaces of cyclic operads through modules. As an application we compute the homotopy automorphism space of the cyclic Batalin-Vilkovisky (Hopf c…

math.AT2024

Automorphisms of framed operads

Geoffroy Horel, Thomas Willwacher

Let $P$ be an operad acted upon by a group $G$ , and let $Q = P ⋊ G$ be the corresponding framed operad. We relate the homotopy automorphism groups of $\m…