The Condensed Fiber Product and Zesting
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912142885650432 |
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| author | Delaney, Colleen Galindo, César Plavnik, Julia Rowell, Eric C. Zhang, Qing |
| author_facet | Delaney, Colleen Galindo, César Plavnik, Julia Rowell, Eric C. Zhang, Qing |
| contents | We introduce the condensed fiber product of two $G$-crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely related to the cohomological construction known as zesting. Furthermore, the condensed fiber product defines a monoidal structure on the 2-category of $G$-crossed and braided extensions of braided categories with a fixed transparent symmetric pointed subcategory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Condensed Fiber Product and Zesting Delaney, Colleen Galindo, César Plavnik, Julia Rowell, Eric C. Zhang, Qing Quantum Algebra 18M20, 18M15, 55S35, 81T45, 57R56 We introduce the condensed fiber product of two $G$-crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely related to the cohomological construction known as zesting. Furthermore, the condensed fiber product defines a monoidal structure on the 2-category of $G$-crossed and braided extensions of braided categories with a fixed transparent symmetric pointed subcategory. |
| title | The Condensed Fiber Product and Zesting |
| topic | Quantum Algebra 18M20, 18M15, 55S35, 81T45, 57R56 |
| url | https://arxiv.org/abs/2410.09025 |