Deformations of objects in $n$-categories
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909673540550656 |
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| author | Chen, Fei Yu |
| author_facet | Chen, Fei Yu |
| contents | In this paper, we prove that the deformation theory of an object in an $n$-category is controlled by the its $n$-fold endomorphism algebra. This recovers Lurie's results on deforming objects and categories. We also generalize a previous result by Blanc et al. on deforming a category and an object simultaneously to the case of $n$-categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00196 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deformations of objects in $n$-categories Chen, Fei Yu Algebraic Geometry Category Theory In this paper, we prove that the deformation theory of an object in an $n$-category is controlled by the its $n$-fold endomorphism algebra. This recovers Lurie's results on deforming objects and categories. We also generalize a previous result by Blanc et al. on deforming a category and an object simultaneously to the case of $n$-categories. |
| title | Deformations of objects in $n$-categories |
| topic | Algebraic Geometry Category Theory |
| url | https://arxiv.org/abs/2304.00196 |