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The algebra of cell-zeta values

2010
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Compositio Mathematica
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AbstractIn this paper, we introduce cell-forms on0,n, which are top-dimensional differential forms diverging along the boundary of exactly one cell (connected component) of the real moduli space0,n(). We show that the cell-forms generate the top-dimensional cohomology group of0,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 cellX. The elements of

doi:10.1112/s0010437x09004540
fatcat:paolzjtwnrbcbkxzvgxt5xh4bq