The properad of quadratic Poisson structures is Koszul
Quantum Algebra
2026-02-19 v3 Mathematical Physics
K-Theory and Homology
math.MP
Abstract
In this paper, we suggest a sufficient condition on the properadic envelope of a quadratic dioperad to be Koszul in terms of twisted associative algebras. As a particular new example, we show that the properad of quadratic Poisson structures is Koszul.
Keywords
Cite
@article{arxiv.2601.13921,
title = {The properad of quadratic Poisson structures is Koszul},
author = {Anton Khoroshkin},
journal= {arXiv preprint arXiv:2601.13921},
year = {2026}
}
Comments
Comments are welcome, v2: minor corrections, v3: grading corrections