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Stability of the Type IIA flow and its applications in symplectic geometry

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arxiv 2112.15580 v1 pith:FJYZAVDV submitted 2021-12-31 math.DG hep-thmath-phmath.APmath.MPmath.SG

Teng Fei , Duong H. Phong , Sebastien Picard , Xiangwen Zhang This is my paper · ORCID
classification math.DGhep-thmath-phmath.APmath.MPmath.SG
keywords stabilityflowtypeahlercalabi-yaudynamicalfoldspoints
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In this paper the dynamical stability of the Type IIA flow with no source near its stationary points is established. These stationary points had been shown previously by the authors to be Ricci-flat K\"ahler metrics on Calabi-Yau 3-folds. The dynamical stability of the Type IIA flow is then applied to prove the stability under symplectic deformations of the K\"ahler property for Calabi-Yau 3-folds.

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