English

Six operations formalism for generalized operads

Algebraic Topology 2019-03-29 v3 Quantum Algebra

Abstract

This paper shows that generalizations of operads equipped with their respective bar/cobar dualities are related by a six operations formalism analogous to that of classical contexts in algebraic geometry. As a consequence of our constructions, we prove intertwining theorems which govern derived Koszul duality of push-forwards and pull-backs.

Keywords

Cite

@article{arxiv.1701.01374,
  title  = {Six operations formalism for generalized operads},
  author = {Benjamin C. Ward},
  journal= {arXiv preprint arXiv:1701.01374},
  year   = {2019}
}

Comments

final version with minor corrections, most notably revised statement of Theorem 6.3

R2 v1 2026-06-22T17:42:07.226Z