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arXiv · 1706.02942

Mirror of Atiyah flop in symplectic geometry and stability conditions

Yu-Wei Fan·Hansol Hong·Siu-Cheong Lau·Shing-Tung Yau
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Abstract

We study the mirror operation of the Atiyah flop in symplectic geometry. We formulate the operation for a symplectic manifold with a Lagrangian fibration. Furthermore we construct geometric stability conditions on the derived Fukaya category of the deformed conifold and study the action of the mirror Atiyah flop on these stability conditions.

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Yu-Wei Fan, Hansol Hong, Siu-Cheong Lau, Shing-Tung Yau. 2017-06-09. Mirror of Atiyah flop in symplectic geometry and stability conditions. https://arxiv.org/abs/1706.02942

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