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

Published 5 May 2020 in math.AT and math.AG | (2005.02106v1)

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 $Hk(Conf(C,n))$ for $k \leq 5$ and arbitrary $n$.

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