HOMOLOGY CLASSES REPRESENTED BY HYPERSURFACES OF PLANAR POLYGON SPACES
Given a string of npositive real numbers one considers the moduli space of closed planar polygonal curves having side lengths modulo isometry group. The manifold contains various hypersurfaces. The relationship between the mod 2 homology classes represented by them is already known. The result was proved by going through the spatial polygon space In this paper, we give a direct proof for the relationship without going through
polygon space, homology class, hypersurface.