JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 3, Pages 389 - 399
(June 2017) http://dx.doi.org/10.17654/NT039030389 |
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A POLYNOMIAL WITH COEFFICIENTS IN CERTAIN ELEMENTARY SYMMETRIC POLYNOMIALS
Yasuhiko Kamiyama
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Abstract: 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). |
Keywords and phrases: polynomial ring, ideal, elementary symmetric polynomial. |
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