4 papers
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…
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…
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 …
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 $…