A POLYNOMIAL WITH COEFFICIENTS IN CERTAIN ELEMENTARY SYMMETRIC POLYNOMIALS
Let be the configuration space of equilateral planar n-gons modulo isometry group. For odd n, the mod 2 cohomology ring has the form
where the ideal is generated by three relations (R1), (R2) and (R3). Although (R1) and (R2) are manageable, (R3) is complicated and mysterious. The purpose of this paper is to study various properties of (R3).
polynomial ring, ideal, elementary symmetric polynomial.