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math.DG2026
Gauge theory and symplectic structures
Partha Ghosh
Motivated by the problem of finding obstructions to the existence of symplectic structures in dimensions higher than four, we introduce an elliptic system of equations on almost He…
math.DG2026
Mass and rigidity in almost Kähler geometry
Partha Ghosh
We derive an explicit formula for the ADM mass of asymptotically locally Euclidean (ALE) almost Kähler manifolds. The formula expresses the mass in terms of the total Hermitian sca…