Up-to-homotopy algebras with strict units. (Extended abstract version.)

Research paper by Agusti Roig

Indexed on: 22 Jul '19Published on: 19 Jul '19Published in: arXiv - Mathematics - Algebraic Topology

Abstract

We prove the existence of minimal models a la Sullivan for operads with nontrivial arity zero. So up-to-homotopy algebras with strict units are just operad algebras over these minimal models. As an application, we give another proof of the formality of the unitary n-little disks operad over the rationals.