= Removal of a finite-energy holomorphic puncture
A <J-holomorphic curve> on a punctured disc with finite energy and image contained in a compact target extends smoothly across the puncture when the target has a smooth tame <almost complex structure> and compatible bounded geometry. Local monotonicity controls escape from small target balls, and the elliptic small-energy estimate followed by <elliptic regularity> gives the extension. This is the step turning a finite-energy plane obtained by rescaling into a <J-holomorphic sphere>.
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