55 citations · 264 across the 53 of their papers we have counts for
61 papers
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…
Calculus of multilinear differential operators, operator -algebras and -algebras
Denis Bashkirov, Martin Markl
We propose an operadic framework suitable for describing algebraic structures with operations being multilinear differential operators of varying orders or, more generally, formal…
Koszul duality for operadic categories
Michael Batanin, Martin Markl
The aim of this sequel to arXiv:1812.02935 is to set up the cornerstones of Koszul duality and Koszulity in the context of operads over a large class of operadic categories. In par…
Which homotopy algebras come from transfer?
Martin Markl, Christopher L. Rogers
We characterize -structures that are transfers over a chain homotopy equivalence or a quasi-isomorphism, answering a question posed by D. Sullivan. Along the way, we pres…
Minimal models for graph-related (hyper)operads
Michael Batanin, Martin Markl, Jovana Obradović
We construct explicit minimal models for the (hyper)operads governing modular, cyclic and ordinary operads, and wheeled properads, respectively. Algebras for these models are homot…
Permutads via operadic categories, and the hidden associahedron
Martin Markl
The present article exploits the fact that permutads (aka shuffle algebras) are algebras over a terminal operad in a certain operadic category Per. In the first, classical part we…