3 papers
math.QA2026
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…
math.SG2024
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…
math.SG2024
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…