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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.AT2024
About non-uniqueness when removing closed orbits in Morse-Smale vector fields
Clemens Bannwart
Given a Morse-Smale vector field on a smooth manifold, Franks described how one can replace a closed orbit of index by two rest points of index and , using a local per…
math.AT2024
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…