Symplectic vortex equations for Kahler cones over Sasakian manifolds

Varun Thakre

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arXiv · 1803.07929

Symplectic vortex equations for Kahler cones over Sasakian manifolds

Varun Thakre

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Abstract

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 reduces to studying the existence and uniqueness of Kazdan-Warner equations. Using this, we construct a map between the moduli space of solutions to the symplectic vortex equations and effective divisors.

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BibTeX RIS

Varun Thakre. 2018-03-20. Symplectic vortex equations for Kahler cones over Sasakian manifolds. https://arxiv.org/abs/1803.07929

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