Non-Koszulness in a family of properads
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910902614228992 |
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| author | Nédélec, Silvère |
| author_facet | Nédélec, Silvère |
| contents | Proving Koszulness of a properad can be very hard, but sometimes one can look at its Koszul complex to look for obstructions for Koszulness. In this paper, we present a method and tools to prove non-Koszulness of many properads in a family of quadratic properads. We illustrate this method on a family of associative and coassociative properads with one quadratic compatibility relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02366 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Koszulness in a family of properads Nédélec, Silvère Algebraic Topology Proving Koszulness of a properad can be very hard, but sometimes one can look at its Koszul complex to look for obstructions for Koszulness. In this paper, we present a method and tools to prove non-Koszulness of many properads in a family of quadratic properads. We illustrate this method on a family of associative and coassociative properads with one quadratic compatibility relation. |
| title | Non-Koszulness in a family of properads |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2504.02366 |