2 problems

Let $(M,\Omega_I)$ be holomorphic symplectic, set $\omega_u=\operatorname{Re}(u^{-1}\Omega_I)$ and $B_u=\operatorname{Im}(u^{-1}\Omega_I)$, and let $F(M,\omega_u,B_u)$ be the corre…

Hodge-to-de Rham degeneration conjecture. The negative cyclic homology $HC_*^-(A)$ is a locally free $\mathbb{K}[[u]]$-module of finite rank.