Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911855238184960 |
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| author | Kaufmann, Ralph M. Ward, Benjamin C. |
| author_facet | Kaufmann, Ralph M. Ward, Benjamin C. |
| contents | We prove that the Feynman category encoding Schwarz's variant of modular operads is Koszul. Our proof uses a generalization of the theory of distributive laws to the groupoid colored setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$ Kaufmann, Ralph M. Ward, Benjamin C. Algebraic Topology Category Theory We prove that the Feynman category encoding Schwarz's variant of modular operads is Koszul. Our proof uses a generalization of the theory of distributive laws to the groupoid colored setting. |
| title | Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$ |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2404.17540 |