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Harmonic map flow for almost-holomorphic maps
Published 15 Sep 2020 in math.DG and math.AP | (2009.07242v3)
Abstract: Let $\Sigma$ be a compact oriented surface and $N$ a compact K\"ahler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map $\Sigma \to N$ (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear.
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