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arXiv · 2005.02106

Asymptotic growth of Betti numbers of ordered configuration spaces on an elliptic curve

Roberto Pagaria
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Abstract

We construct a dga to computing the cohomology of ordered configuration spaces on an algebraic variety with vanishing Euler characteristic. It follows that the $k$-th Betti number of $Conf(C,n)$ ($C$ is an elliptic curve) grows as a polynomial of degree exactly $2k-2$. We also compute $H^k(Conf(C,n))$ for $k \leq 5$ and arbitrary $n$.

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Roberto Pagaria. 2020-05-05. Asymptotic growth of Betti numbers of ordered configuration spaces on an elliptic curve. https://doi.org/10.1007/s40879-022-00534-8

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