The properad of quadratic Poisson structures is Koszul
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914337279442944 |
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| author | Khoroshkin, Anton |
| author_facet | Khoroshkin, Anton |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13921 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The properad of quadratic Poisson structures is Koszul Khoroshkin, Anton Quantum Algebra Mathematical Physics K-Theory and Homology 18M85, 18M70, 17B63, 16S37 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. |
| title | The properad of quadratic Poisson structures is Koszul |
| topic | Quantum Algebra Mathematical Physics K-Theory and Homology 18M85, 18M70, 17B63, 16S37 |
| url | https://arxiv.org/abs/2601.13921 |