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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.SG2022
Symplectically Flat Connections and Their Functionals
Li-Sheng Tseng, Jiawei Zhou
We continue our study of symplectically flat bundles. We broaden the notion of symplectically flat connections on symplectic manifolds to -flat connections on smooth manifolds.…
math.SG2022★ 3 cited
Symplectic Flatness and Twisted Primitive Cohomology
Li-Sheng Tseng, Jiawei Zhou
We introduce the notion of symplectic flatness for connections and fiber bundles over symplectic manifolds. Given an -algebra, we present a flatness condition that enable…