3 papers
math.DG2019
Hypersymplectic manifolds and associated geometries
Varun Thakre
We investigate an obstruction for hypersymplectic manifolds equipped with a free, isometric action of SU(1,1). When the obstruction vanishes, we show that the manifold is a metric…
math-ph2018
Generalised monopole equations on Kahler surfaces
Indranil Biswas, Varun Thakre
In this article, we establish a Hitchin-Kobayashi type correspondence for generalised Seiberg-Witten monopole equations on Kahler surfaces. We show that the "stability" criterion w…
math.DG2018
Symplectic vortex equations for Kahler cones over Sasakian manifolds
Varun Thakre
We obtain a Hitchin-Kobayashi-type correspondence for symplectic vortex equations, with the target a Kahler cone over a compact Sasakian manifold. We show that the correspondence r…