The algebra of cell-zeta values

@article{Brown2010TheAO,
  title={The algebra of cell-zeta values},
  author={Francis Brown and Sarah Carr and Leila Schneps},
  journal={Compositio Mathematica},
  year={2010},
  volume={146},
  pages={731 - 771}
}
Abstract In this paper, we introduce cell-forms on 𝔐0,n, which are top-dimensional differential forms diverging along the boundary of exactly one cell (connected component) of the real moduli space 𝔐0,n(ℝ). We show that the cell-forms generate the top-dimensional cohomology group of 𝔐0,n, so that there is a natural duality between cells and cell-forms. In the heart of the paper, we determine an explicit basis for the subspace of differential forms which converge along a given cell X. The… Expand
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