English

Minimal models for graph-related (hyper)operads

Category Theory 2022-12-13 v4 Algebraic Topology

Abstract

We construct explicit minimal models for the (hyper)operads governing modular, cyclic and ordinary operads, and wheeled properads, respectively. Algebras for these models are homotopy versions of the corresponding structures.

Keywords

Cite

@article{arxiv.2002.06640,
  title  = {Minimal models for graph-related (hyper)operads},
  author = {Michael Batanin and Martin Markl and Jovana Obradović},
  journal= {arXiv preprint arXiv:2002.06640},
  year   = {2022}
}

Comments

44 pages. Final version, to appear in Journal of Pure and Applied Algebra

R2 v1 2026-06-23T13:43:14.575Z