Non-trivial 1-classes in the homology of the real moduli spaces M-bar_{0,n} and related structures

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We give lower bounds for the rank of the first homology group of the real points of the Deligne-Mumford-Knudsen compactification of stable n-pointed curves of genus 0,which coincides with the Chow quotient (RP^1)^n//PGL(2,R).The study has connections with spectral geometry and combinatorics.
20 pages, 7 figures

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