Journal of Mathematical Sciences

, Volume 211, Issue 3, pp 327–340 | Cite as

Homologies of Moduli Space M 2,1



We consider the open moduli space 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 M 2,1 and cell adjacency. This allows us to construct matrices of boundary operators and compute Betty numbers of M 2,1 over ℚ.


Modulus Space Boundary Operator Cyclic Group Marked Point Euler Characteristic 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Higher School of EconomicsMoscowRussia

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