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arXiv · 2304.00196

Deformations of objects in $n$-categories

Fei Yu Chen
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Abstract

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.

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Fei Yu Chen. 2023-04-01. Deformations of objects in $n$-categories. https://arxiv.org/abs/2304.00196

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