English

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

Algebraic Geometry 2025-06-30 v1 Algebraic Topology

Abstract

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

Keywords

Cite

@article{arxiv.2506.21867,
  title  = {Hochschild cohomology and deformation theory of stable infinity-categories with t-structures},
  author = {Isamu Iwanari},
  journal= {arXiv preprint arXiv:2506.21867},
  year   = {2025}
}