Deformations of singularities of plane curves: topological approach (Q470083)

The author studies deformations of singular points of plane curves, i.e. a smooth families of plane algebraic curves on two dimensional complex Euclidean space with distinguished members with a singular point. Using a knot invariant, i.e. the Tristram-Levine signature, he gets a main result which is an estimation of the difference between the \(M\)-number of the singularity of the central fiber and the sum of \(M\)-numbers of the generic fiber of the family.