Generic immersions of curves, knots, monodry and Gordian number
The genus 2 Heegaard splittings and decompositions of Seifert manifolds over with 3 exeptional fibres are classified with respect to isotopies and homeomorphisms. In general there are 3 different isotopy classes of Heegaard splittings and 6 different isotopy classes of Heegaard decompositions. Moreover, we determine when a homeomorphism class is not an isotopy class.