4 papers
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 be an operad acted upon by a group , and let be the corresponding framed operad. We relate the homotopy automorphism groups of $\m…
math.QA2023
Cyclic model for the dg dual of the BV operad
Thomas Willwacher
We describe a new small cyclic operad model QBV for the dg dual operad of the Batalin-Vilkovisky operad. As an application, we show that the Feynman transform of BV is quasi-isomor…