3 papers
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 sc…
math.DG2025
Solutions to the Seiberg-Witten equations in all dimensions
Partha Ghosh
This article explores solutions to a generalised form of the Seiberg--Witten equations in higher dimensions, first introduced by Fine and the author. Starting with an oriented …
math.DG2025
Seiberg-Witten equations in all dimensions
Joel Fine, Partha Ghosh
Starting with an -dimensional oriented Riemannian manifold with a Spin-c structure, we describe an elliptic system of equations which recover the Seiberg-Witten equations when $…