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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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For a complex quasi-projective manifold with a finite group action, higher order Euler characteristics are generalizations of the orbifold Euler characteristic introduced by physicists. The generating series of the higher order Euler characteristics of a fixed order of the Cartesian products of the manifold with the wreath product actions on them were computed by H.Tamanoi. I'll discuss motivic versions of the higher order Euler characteristics with values in the Grothendieck ring of complex quasi-projective varieties extended by the rational powers of the class of the affine line and give formulae for the generating series of these generalized Euler characteristics for the wreath product actions.