5 papers
p-curvature in non-commutative Hodge theory and the Kontsevich-Soibelman operad
Zihong Chen
Let be a differential -graded category over . Its periodic cyclic homology , when viewed as a vector bundle over th…
The Getzler-Gauss-Manin connection and Kontsevich-Soibelman operations on the periodic cyclic homology
Zihong Chen
We study equivariant operations on the periodic cyclic homology of dg algebras that arise from the chain level action of the two-colored Kontsevich-Soibelman operad. The first main…
On the exponential type conjecture
Zihong Chen
We prove that the small quantum t-connection on a closed monotone symplectic manifold is of exponential type and has quasi-unipotent regularized monodromies at t=0. This answers a…
Quantum Steenrod operations and Fukaya categories
Zihong Chen
This paper is concerned with quantum cohomology and Fukaya categories of a closed monotone symplectic manifold X, where we use coefficients in a field k of characteristic p > 0. Th…
On operadic open-closed maps in characteristic
Zihong Chen
Consider a closed monotone symplectic manifold . \cite{Gan2} constructed a cyclic open-closed map, which goes from the cyclic homology of the Fukaya category of to the $…