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19 votes

What is a deformation of a category?

Here is a definition that I heard: a family of additive categories over a scheme $X$ (say, defined over a field $k$) is an $k$-linear additive category ${\mathcal C}$ equipped with a structure of a mo …
Pavel Etingof's user avatar
19 votes

What is a deformation of a category?

Maybe it is helpful to look at these lectures by Yekutieli: arXiv:0801.3233. There he discusses twisted deformations of algebraic varieties $X$ suggested by Kontsevich, i.e. deformations of the catego …
Pavel Etingof's user avatar