Rectification of algebras and modules

By V. Hinich. Documenta Mathematica, 2013

62 citations recorded by the source corpus.

Let O be a topological (colored) operad. The Lurie ∞- category of O-algebras with values in (∞-category of) complexes is compared to the ∞-category underlying the model category of (clas- sical) 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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/add2b7e075be09712cc43382eae34fda1ade5ae7

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In Algebra and Number Theory

1. R. Haugseng
2. Joost Nuiten
3. Sil Linskens
4. F. Hebestreit

In Geometry and Topology

1. R. Haugseng
2. Joost Nuiten
3. Sil Linskens
4. F. Hebestreit

In Mathematical Physics

1. R. Haugseng
2. Joost Nuiten
3. Sil Linskens
4. F. Hebestreit

Citations in the corpus

• Lax monoidal adjunctions, two‐variable fibrations and the calculus of mates (2020, methodology): “We also use Corollary C to extend a result of Hinich: We show that the internal mapping functor [−,−]∶ C × C⟶ C in a closed En+1-monoidal ∞-category C admits a canonical lax En-monoidal structure, where 1 ⩽ n ⩽ ∞; in [18], Hinich established the case n = ∞ by different means.”