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arXiv · 2601.13921

The properad of quadratic Poisson structures is Koszul

Anton Khoroshkin
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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.

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Anton Khoroshkin. 2026-01-20. The properad of quadratic Poisson structures is Koszul. https://arxiv.org/abs/2601.13921

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