Corpus ID: 15651774

Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves

@article{Arbarello1994CombinatorialAA,
  title={Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves},
  author={E. Arbarello and M. Cornalba},
  journal={arXiv: Algebraic Geometry},
  year={1994}
}
Based on the combinatorial description of the moduli spaces of curves provided by Strebel differentials, Witten and Kontsevich have introduced combinatorial cohomology classes $W_{(m_0,m_1,m_2,\dots),n}$, and conjectured that these can be expressed in terms of Mumford-Morita-Miller classes. It is argued that this link should be provided by a theorem of Di Francesco, Itzykson and Zuber which relates the derivatives of the Witten-Kontsevich partition function with respect to one set of variables… Expand
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