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Semigroups,<i>d</i>-invariants and deformations of cuspidal singular points of plane curves

Semigroups,<i>d</i>-invariants and deformations of cuspidal singular points of plane curves

We study δ-constant deformations of plane curve singularities from a topological point of view. We introduce a topological counterpart to a δ-constant deformation in singularity theory. Methods from Heegaard Floer theory give a purely topological proof of the semicontinuity property for semigroups of singular points of plane curves under δ-constant …