On Regularity of J-holomorphic Maps
Max Lipyanskiy

TL;DR
This paper proves that L^2_1 and J-holomorphic curves are smooth and establishes a removal of singularity theorem for finite energy curves, simplifying regularity results in symplectic geometry.
Contribution
It offers a concise proof of regularity for J-holomorphic maps and applies it to remove singularities in finite energy cases, advancing understanding in symplectic topology.
Findings
L^2_1 J-holomorphic curves are smooth
Removal of singularities for finite energy J-holomorphic curves
Simplified proof technique for regularity
Abstract
We provide a short proof that an and -holomorphic curve is in fact smooth. As an application, we deduce a removal of singularity theorem for curves of finite energy.
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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory · Geometry and complex manifolds
