p-curvature in non-commutative Hodge theory and the Kontsevich-Soibelman operad

Zihong Chen

Let $\mathcal{C}$ be a differential $\mathbb{Z}/2$-graded category over $\mathbb{C}$. Its periodic cyclic homology $H{H}_{\ast }^{per}(\mathcal{C})$, when viewed as a vector bundle over th…