3 papers
math.AT2025
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
Álvaro Torras-Casas, Ka Man Yim, Ulrich Pennig
Given a poset-graded chain complex of vector spaces, a Conley complex is the minimal chain-homotopic reduction of the initial complex that respects the poset grading. A connection…
math.AT2025
Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings
Ka Man Yim
A central objective of topological data analysis is to identify topologically significant features in data represented as a finite point cloud. We consider the setting where the am…
math.DS2024
Dynamical Systems On Generalised Klein Bottles
Peter Grindrod, Ka Man Yim
We propose a high dimensional generalisation of the standard Klein bottle, going beyond those considered previously. We address the problem of generating continuous scalar fields (…