Rectification of algebras and modules
Quantum Algebra
2015-09-21 v7 Algebraic Topology
Abstract
Let O be a topological (colored) operad. The Lurie infinity-category of O-algebras with values in (infinity-category of) complexes is compared to the infinity-category underlying the model category of (classical) dg O-algebras. This can be interpreted as a "rectification" result for Lurie operad algebras. A similar result is obtained for modules over operad algebras, as well as for algebras over topological PROPs.
Cite
@article{arxiv.1311.4130,
title = {Rectification of algebras and modules},
author = {V. Hinich},
journal= {arXiv preprint arXiv:1311.4130},
year = {2015}
}
Comments
References corrected. The final version; accepted to Documenta Mathematica