Hochschild cohomology and deformation theory of stable infinity-categories with t-structures

Isamu Iwanari

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arXiv · 2506.21867

Hochschild cohomology and deformation theory of stable infinity-categories with t-structures

Isamu Iwanari

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Abstract

Given a stable presentable infinity-category $\mathcal{E}$ equipped with a left complete t-structure, we prove that its Hochschild cohomology governs the deformation theory of $\mathcal{E}$ with respect to left complete t-structures.

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Isamu Iwanari. 2025-06-27. Hochschild cohomology and deformation theory of stable infinity-categories with t-structures. https://arxiv.org/abs/2506.21867

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