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Plane algebraic curves of arbitrary genus via Heegaard Floer homology
Suppose C is a singular curve in \mathbb CP^2 and it is topologically an embedded surface of genus g ; such curves are called cuspidal. The singularities of C are cones on knots K_i . We apply Heegaard Floer theory to find new constraints on the sets of knots \{K_i\} …