Geodesic
Homologies of moduli space $\mathcal M_{2,1}$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 1, pp. 45-63 
Yu. Yu. Kochetkov. Homologies of moduli space $\mathcal M_{2,1}$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 1, pp. 45-63. http://geodesic.mathdoc.fr/item/FPM_2014_19_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the open moduli space $\mathcal M_{2,1}$ of complex curves of genus 2 with one marked point. Using the language of chord diagrams, we describe the cell structure of $\mathcal M_{2,1}$ and cell adjacency. This allows us to construct matrices of boundary operators and compute Betty numbers of $\mathcal M_{2,1}$ over $\mathbb Q$.

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