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arXiv · 2009.11670

The Euler characteristic of configuration spaces

Louis Hainaut
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Abstract

In this short note we present a generating function computing the compactly supported Euler characteristic $\chi_c(F(X, n), K^{\boxtimes n})$ of the configuration spaces on a topologically stratified space $X$, with $K$ a constructible complex of sheaves on $X$, and we obtain as a special case a generating function for the Euler characteristic $\chi(F(X, n))$. We also recall how to use existing results to turn our computation of the Euler characteristic into a computation of the equivariant Euler characteristic.

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Louis Hainaut. 2020-09-24. The Euler characteristic of configuration spaces. https://doi.org/10.36045/j.bbms.211008

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