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arXiv · 1301.6059

Homologies of moduli space $\mathcal{M}_{2,1}$

Yury Kochetkov
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Abstract

We consider the space $\mathcal{M}_{2,1}$ --- the open moduli space of complex curves of genus 2 with one marked point. Using 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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Yury Kochetkov. 2013-01-25. Homologies of moduli space $\mathcal{M}_{2,1}$. https://arxiv.org/abs/1301.6059

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