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6 votes

Microlocalizing Hochschild homology

One answer to Ben's question is to calculate the Hochschild homology of the category of $D$-modules $D_\Lambda(X)$ with fixed microsupport $\Lambda\subset T^*X$. The functor $D_\Lambda(X)\to D(X)$ ha …
David Ben-Zvi's user avatar
6 votes

Deequivariantisation of indecomposable sheaves

Take $X=pt$ and $G=G_m$ and $k$ to have characteristic zero. The equivariant derived category in this case is equivalent to modules for the homology of the circle, ie exterior algebra on a generator i …
David Ben-Zvi's user avatar