61 citations · 229 across the 26 of their papers we have counts for
32 papers
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…
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 order-p…
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…
Quasi-tame substitudes and the Grothendieck construction
Michael Batanin, Florian De Leger, David White
This paper continues the study of the homotopy theory of algebras over polynomial monads initiated by the first author and Clemens Berger. We introduce the notion of a quasi-tame p…
Model structures on operads and algebras from a global perspective
Michael Batanin, Florian De Leger, David White
This paper studies the homotopy theory of the Grothendieck construction using model categories and semi-model categories, provides a unifying framework for the homotopy theory of o…
Operads, operadic categories and the blob complex
Michael Batanin, Martin Markl
We will show that the Morrison-Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local rela…