We construct a differential graded algebra to compute the cohomology of ordered configuration spaces on an algebraic variety with vanishing Euler characteristic. We show that the k-th Betti number of Conf (C, n) (C is an elliptic curve) grows as a polynomial of degree exactly 2 k- 2. We also compute [InlineEquation not available: see fulltext.] for k< 6 and arbitrary n.
Pagaria R. (2022). Asymptotic growth of Betti numbers of ordered configuration spaces of an elliptic curve. EUROPEAN JOURNAL OF MATHEMATICS, 8(2), 427-445 [10.1007/s40879-022-00534-8].
Asymptotic growth of Betti numbers of ordered configuration spaces of an elliptic curve
Pagaria R.
2022
Abstract
We construct a differential graded algebra to compute the cohomology of ordered configuration spaces on an algebraic variety with vanishing Euler characteristic. We show that the k-th Betti number of Conf (C, n) (C is an elliptic curve) grows as a polynomial of degree exactly 2 k- 2. We also compute [InlineEquation not available: see fulltext.] for k< 6 and arbitrary n.File in questo prodotto:
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