Isotopy of Morin singularities

Abstract

We define an equivalence relation called A-isotopy between finitely determined map-germs, which is a strengthened version of A-equivalence. We consider the number of A-isotopy classes of equidimensional Morin singularities, and some other well-known low-dimensional singularities. We also give an application to stable perturbations of simple equi-dimensional map-germs.

17pages

References in corpus (2)

• An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications
• Mappings from R^3 to R^3 and signs of swallowtails

Cited by in corpus (2)

• Morin singularities of coframes and frames
• Counting indices of critical points of rank two of polynomial selfmaps of R^4