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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2014 Volume 19, Issue 1, Pages 45–63 (Mi fpm1568)

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

Yu. Yu. Kochetkov

National Research University "Higher School of Economics", Moscow, Russia

Abstract: 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 $\mathbb Q$.

UDC: 515.1


 English version:
Journal of Mathematical Sciences (New York), 2015, 211:3, 327–340

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