English

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

Combinatorics 2013-01-28 v1 Complex Variables

Abstract

We consider the space M2,1\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 M2,1\mathcal{M}_{2,1} and cell adjacency. This allows us to construct matrices of boundary operators and compute Betty numbers of M2,1\mathcal{M}_{2,1} over Q\mathbb{Q}.

Keywords

Cite

@article{arxiv.1301.6059,
  title  = {Homologies of moduli space $\mathcal{M}_{2,1}$},
  author = {Yury Kochetkov},
  journal= {arXiv preprint arXiv:1301.6059},
  year   = {2013}
}

Comments

16 pages, 2 figures