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for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.

3 votes
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61 views

Natural transformation and Hochschild cohomology

I am reading the lecture note by Căldăraru:https://arxiv.org/pdf/math/0501094, in the last chapter of this note, he said that we should consider dg category instead of the derived category of coherent …
2 votes
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74 views

Deformation of Category via Hochschild Homology

Given a $\mathbb{C}$-linear category $\mathrm{C}$, let’s understand $\mathbf{HH}(\mathrm{C})$, the Hochschild homology of $\mathrm{C}$ as natural transformation. Then for any $A\in \mathbf{HH}(\mathrm …