Geodesic
On the Power Structure over the Grothendieck Ring of Varieties and Its Applications
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 1, Tome 258 (2007), pp. 58-69

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We discuss the notion of a power structure over a ring and the geometric description of the power structure over the Grothendieck ring of complex quasi-projective varieties and show some examples of applications to generating series of classes of configuration spaces (for example, nested Hilbert schemes of J. Cheah) and wreath product orbifolds. 
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     author = {S. M. Gusein-Zade and I. Luengo and A. Melle-Hern\'andez},
     title = {On the {Power} {Structure} over the {Grothendieck} {Ring} of {Varieties} and {Its} {Applications}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {58--69},
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     year = {2007},
     language = {ru},
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S. M. Gusein-Zade; I. Luengo; A. Melle-Hernández. On the Power Structure over the Grothendieck Ring of Varieties and Its Applications. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 1, Tome 258 (2007), pp. 58-69. http://geodesic.mathdoc.fr/item/TM_2007_258_a5/