2 papers
math.AT2026
Canonical chain complexes for Morse-Smale vector fields
Clemens Bannwart, Claudia Landi
In 1960, Smale defined a filtration of a closed smooth manifold by the unstable manifolds of fixed points and closed orbits of a Morse-Smale vector field defined on it, and derived…
math.AT2025
Tagged barcodes for the topological analysis of gradient-like vector fields
Clemens Bannwart, Claudia Landi
Intending to introduce a method for the topological analysis of fields, we present a pipeline that takes as an input a weighted and based chain complex, produces a factored chain c…