3 problems

Let $\mathcal B$ and $\mathcal C$ be small DG categories over a field $\mathrm k$ of characteristic zero. Let…

Let $A$ be a smooth DG algebra. Let $\operatorname{ch}:K_0(A\otimes A^{op})\to (HH_{\bullet}(A)\otimes HH_{\bullet}(A^{op}))_0$ be the Chern character, and let…

Let $B$ be a proper DG algebra over a field $cmathrm k$. The Hochschild homology pairing is a map $HH_{\bullet}(B)\otimes HH_{\bullet}(B^{op})\to \mathrm k$, and let…