Equivariant virtual Betti numbers

Goulwen Fichou

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Equivariant virtual Betti numbers

Goulwen Fichou

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Abstract

We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with equivariant homology for compact nonsingular sets, but is different in general. We lay emphasis on the particular case of $Z/2\Z$, and give an application to the study of the singularities of Nash function germs via an analog of the motivic zeta function of Denef & Loeser.

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BibTeX RIS

Goulwen Fichou. 2007-02-23. Equivariant virtual Betti numbers. https://arxiv.org/abs/math/0605220

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