Arnaud Bodin

Jul 10, 2024 | onlinelibrary.wiley.com | Arnaud Bodin |Laboratoire Paul Painlevé |Departamento de Matemáticas |Patrick Popescu-Pampu

1 INTRODUCTION In this paper, by a singularity we mean a germ of real or complex analytic function with an isolated critical point. By a Morse function on a compact manifold with boundary, we mean a smooth function having only non-degenerate critical points, all of them interior to the manifold, and pairwise distinct critical values. A powerful method for analyzing a singularity is to deform it in a suitable way and relate it to the various resulting simpler singularities.