16 citations · 74 across the 21 of their papers we have counts for
24 papers
The Milnor Fiber as a Local Conley Index
Jean-Paul Brasselet, Nivaldo Grulha
Let $f:(\C^n,0)\to(\C,0)$ be a holomorphic germ with an isolated critical point at the origin, and let be the negative gradient flow of $\re f$ with respect to a Riemannian m…
Singular Morse-Smale Flows on Pseudomanifolds with Spherical-Cone Singularities: Conley Theory and Intersection Homology
Jean-Paul Brasselet, Dahisy Lima, Denilson Tenório
Classical Morse-Conley theory provides powerful tools for relating dynamical and topological invariants of smooth manifolds. In this paper, we extend this perspective to pseudomani…
Chern-Schwartz-MacPherson classes in the point of view of Obstruction Theory and Lipschitz framework
Jean-Paul Brasselet, Tadeusz Mostowski, Thuy Nguyen Thi Bich
Since Chern and Grothendieck, Chern's characteristic class theory has made significant progress. In particular with regard to the classes of singular varieties. Conjectured by Grot…
An elementary proof of Euler formula using Cauchy's method
Jean-Paul Brasselet, Nguyen Thi Bich Thuy
The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex pol…
Local bi-Lipschitz classification of semialgebraic surfaces
Jean-paul Brasselet, Maria Aparecida Soares Ruas, Thuy Nguyen
We provide bi-Lipschitz invariants for finitely determined map germs , where or . The aim of the p…
Local and global coincidence homology classes
Jean-Paul Brasselet, Tatsuo Suwa
For two differentiable maps between two manifolds of possibly different dimensions, the local and global coincidence homology classes are introduced and studied by Bisi- Bracci-Iza…