$The Homology of the real moduli spaces \bar(M)_(0,n)$

The Homology of the real moduli spaces \bar(M)_(0,n)

We compute the rank of the first homology group and we study the higher Betti numbers 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)(after Kapranov).

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Bibliographische Detailangaben
1. Verfasser:	Barad, Gefry
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology Mathematics - Combinatorics Mathematics - Mathematical Physics Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Physics - Mathematical Physics
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Beschreibung
Zusammenfassung:	We compute the rank of the first homology group and we study the higher Betti numbers 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)(after Kapranov).
DOI:	10.48550/arxiv.math/0204003