3 papers
math.SG2026
Symplectic Yang-Mills Theory
Jonathan Delgado, Li-Sheng Tseng, Jiawei Zhou
On a symplectic manifold, any differential two-form has a natural decomposition into two components: a primitive part and a non-primitive one. Applying this decomposition to the cu…
math.DG2024
Mapping Cone Connections and their Yang-Mills Functional
Li-Sheng Tseng, Jiawei Zhou
For a given closed two-form, we introduce the cone Yang-Mills functional which is a Yang-Mills-type functional for a pair , a connection one-form and a scalar taking…
math.DG2024
Mapping Cone and Morse Theory
David Clausen, Xiang Tang, Li-Sheng Tseng
On a smooth manifold, we associate to any closed differential form a mapping cone complex. The cohomology of this mapping cone complex can vary with the de Rham cohomology class of…