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math.DG2022
Asymptotic geometry of toric Kahler instantons
Brian Weber
The symplectic reduction of a complete toric Kähler manifold need not be closed or even be a polygon. Sharp differences in behavior occur between those complete toric Kähler 4-mani…
math.DG2022
Pseudoconvex submanifolds in Kahler 4-manifolds
Brian Weber
On Kahler 4-manifolds, not necessarily compact or of finite topological type, we obtain relationships between the fundamental group of compact embedded Levi-flat or pseudoconvex su…