3 papers
math.CT2026
Pita factorisation in operadic categories
Michael Batanin, Joachim Kock, Mark Weber
In strictly factorisable operadic categories, every morphism factors uniquely as where is order-preserving and is a quasibijection that is ord…
math.CT2026
Operadic categories as (pseudo)-simplicial groupoids
Michael Batanin, Joachim Kock, Mark Weber
From any operadic category O we construct a simplicial groupoid X (slightly pseudo in a specific way), called the operadic nerve. It integrates all the structure of chosen-local-te…
math.CT2024
Twisted tensor product of dg categories and Kontsevich's Swiss Cheese conjecture
Michael Batanin, Boris Shoikhet
Let be a -algebra. The Kontsevich Swiss Cheese conjecture [K2] states that the homotopy category of actions of -algebras on has a final…