English

Intertwining for semi-direct product operads

Algebraic Topology 2019-08-21 v2 Quantum Algebra

Abstract

This paper shows that the semi-direct product construction for GG-operads and the levelwise Borel construction for GG-cooperads are intertwined by the topological operadic bar construction. En route we give a generalization of the bar construction of M. Ching from reduced to certain non-reduced topological operads.

Keywords

Cite

@article{arxiv.1801.00970,
  title  = {Intertwining for semi-direct product operads},
  author = {Benjamin C. Ward},
  journal= {arXiv preprint arXiv:1801.00970},
  year   = {2019}
}

Comments

revised version with more general treatment of cooperad structures on the bar construction of non-reduced topological operads; to appear in Algebraic & Geometric Topology

R2 v1 2026-06-22T23:35:20.341Z