Curved Koszul duality of algebras over unital versions of binary operads

Author
N. I.
Publication
J. Pure Appl. Algebra 227.3 (2023).
Online on
Online on .
Accepted on
Accepted on .
Updated on
Updated on .
Full text
 Full text.
10.1016/j.jpaa.2022.107208
 10.1016/j.jpaa.2022.107208.
arXiv:1805.01853
 arXiv:1805.01853.
hal-01786218
 hal-01786218.
MR4477956
 MR4477956.
Zbl07595193
 Zbl07595193.

Abstract

We develop a curved Koszul duality theory for algebras presented by quadratic-linear-constant relations over unital versions of binary quadratic operads. As an application, we study Poisson nn-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 with coefficients in these Poisson nn-algebras.