2016/11/14 by Gaiane Panina, Panina, Gaiane
Computer Science · #52B99 #52R70 #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1611.04265
openalex publication_date 2016/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We show that an appropriate generalization of the oriented area function is a perfect Morse function on the space of three-dimensional configurations of an equilateral polygonal linkage with odd number of edges. Therefore cyclic equilateral polygons (which appear as Morse points) are interpreted as independent generators of the homology groups of the (decorated) configuration space.