Curved Koszul Duality for Algebras over Unital Operads - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Curved Koszul Duality for Algebras over Unital Operads

Najib Idrissi

Abstract

We develop a curved Koszul duality theory for algebras presented by quadratic-linear-constant relations over binary unital operads. As an application , we study Poisson n-algebras given by polynomial functions on a standard shifted symplectic space. We compute explicit resolutions of these algebras using curved Koszul duality. We use these resolutions to compute derived enveloping algebras and factorization homology on parallelized simply connected closed manifolds of these Poisson n-algebras.
Fichier principal
Vignette du fichier
curved-koszul.pdf (551.64 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01786218 , version 1 (05-05-2018)
hal-01786218 , version 2 (22-08-2022)

Identifiers

  • HAL Id : hal-01786218 , version 1

Cite

Najib Idrissi. Curved Koszul Duality for Algebras over Unital Operads. 2018. ⟨hal-01786218v1⟩
51 View
95 Download

Share

Gmail Facebook Twitter LinkedIn More