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• W2956203985 abstract "We define a suitably tame class of singular symplectic curves in 4-manifolds, namely those whose singularities are modeled on complex curve singularities. We study the corresponding symplectic isotopy problem, with a focus on rational curves with irreducible singularities (rational cuspidal curves) in the complex projective plane. We prove that every such curve is isotopic to a complex curve in degrees up to 5, and for curves with one singularity whose link is a torus knot. Classification results of symplectic isotopy classes rely on pseudo-holomorphic curve arguments, together with birational transformations in the symplectic setting." @default.
• W2956203985 created "2019-07-23" @default.
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• W2956203985 date "2019-07-15" @default.
• W2956203985 modified "2023-09-27" @default.
• W2956203985 title "The symplectic isotopy problem for rational cuspidal curves" @default.
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