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Non-trivial 1-classes in the homology of the real moduli spaces M-bar0,n and related structures

Gefry Barad

math.ATarXiv:math/0208095

Abstract

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 (RP1)n//PGL(2,R).The study has connections with spectral geometry and combinatorics.

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