Criteria for Morin singularities for maps into lower dimensions, and applications

TL;DR

This paper establishes criteria for Morin singularities in lower-dimensional maps and applies these criteria to analyze bifurcations of Lefschetz singularities.

Contribution

It provides new criteria for identifying Morin singularities in low-dimensional maps and demonstrates their application to Lefschetz singularity bifurcations.

Findings

Criteria for Morin singularities in lower dimensions

Application to bifurcation analysis of Lefschetz singularities

Enhanced understanding of singularity behavior in low-dimensional mappings

Abstract

We give criteria for Morin singularities for germs of maps into lower dimensions. As an application, we study the bifurcation of Lefschetz singularities.