Non-trivial 1-classes in the homology of the real moduli spaces M-bar

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64707We 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 figuresAlgebraic TopologyAlgebraic GeometryCombinatoricsSpectral Theory14P25 (14F35, 14J10, 57M15, 20F99)Non-trivial 1-classes in the homology of the real moduli spaces M-bar_{0,n} and related structurestext