Mirror of Atiyah flop in symplectic geometry and stability conditions

Published 9 Jun 2017 in math.SG and math.AG | (1706.02942v2)

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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