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math.AT2020
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…
math.CT2020
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…