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math.AG2024
Approximable Triangulated Categories and Reflexive DG-categories
Isambard Goodbody, Theo Raedschelders, Greg Stevenson
We use the theory of approximable triangulated categories to give a condition for a proper DG-category to be reflexive in the sense of Kuznetsov and Shinder. To do this we provide…
math.AG2024
Reflexivity and Hochschild Cohomology
Isambard Goodbody
We characterise reflexive DG-categories, as introduced by Kuznetsov and Shinder, as the reflexive objects in the closed symmetric monoidal category of DG-categories localised at Mo…