Operads, operadic categories and the blob complex
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917622257287168 |
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| author | Batanin, Michael Markl, Martin |
| author_facet | Batanin, Michael Markl, Martin |
| contents | We will show that the Morrison-Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_14598 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Operads, operadic categories and the blob complex Batanin, Michael Markl, Martin Category Theory Mathematical Physics 55U15, 18D50, 81T05 We will show that the Morrison-Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context. |
| title | Operads, operadic categories and the blob complex |
| topic | Category Theory Mathematical Physics 55U15, 18D50, 81T05 |
| url | https://arxiv.org/abs/2212.14598 |