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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.07857 |
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| _version_ | 1866915011115352064 |
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| author | Dorsch, Florian |
| author_facet | Dorsch, Florian |
| contents | We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in current research to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the local Kan structure and differentiation of simplicial manifolds Dorsch, Florian Differential Geometry We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in current research to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids. |
| title | On the local Kan structure and differentiation of simplicial manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2402.07857 |