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

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

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 rati...

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1. Verfasser: Roig, Agusti
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Topology
Mathematics - K-Theory and Homology
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Zusammenfassung: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.
DOI:10.48550/arxiv.1907.08422