3 papers
math.SP2024
Construction of Toda flow via Sato-Segal-Wilson theory
Shuo Zhang, Shinichi Kotani, Jiahao Xu
A Toda flow is constructed on a space of bounded initial data through Sato-Segal-Wilson theory. The flow is described by the Weyl functions of the underlying Jacobi operators. This…
math.NA2024
Finite element spaces by Whitney k-forms on cubical meshes
Shuo Zhang
Finite element spaces by Whitney -forms on cubical meshes in are presented. Based on the spaces, compatible discretizations to problems are provided, and d…
math.SG2023
A long exact sequence on the composition of Dehn twists
Shuo Zhang
We prove an exact sequence relating the Lagrangian Floer homology of a collection of Lagrangian spheres and the fixed-point Floer homology of iterated Dehn twists along t…