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math.DS2026
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…
math.DS2026
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…