Topology of the Configuration Space of Polygons as a Codimension One Submanifold of a Torus
Takanori Hinokuma, Hiroo Shiga · Publications of the Research Institute for Mathematical Sciences · 1998
We study the topology of polygons with fixed side length in Euclidean plane by Morse theory. § 1. IntroductionWe study the space of oriented congruence classes of polygons with fixed side length in Euclidean plane £ 2 .Set and where C* ( -C~{0}) acts on X diagonally.Then N n +z may be regarded as the space of oriented similarity classes of (n+2)-gons in E 2 .For a positive number r, we set Z nThen by setting ---Wj, we have Zn+2