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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.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…