On the power structure over the Grothendieck ring of varieties and its applications

DOI10.1134/S0081543807030066zbMath1222.14007arXivmath/0605467MaRDI QIDQ2377567

Alejandro Melle-Hernández, Sabir M. Gusein-Zade, I. Luengo Velasco

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605467

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Parametrization (Chow and Hilbert schemes) (14C05) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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Zeta statistics and Hadamard functions ⋮ Generating series of classes of Hilbert schemes of points on orbifolds ⋮ Functional equations for orbifold wreath products ⋮ Motive of the \(\mathrm{SL}_4\)-character variety of torus knots ⋮ Motivic random variables and representation stability. II: Hypersurface sections ⋮ Representation varieties of twisted Hopf links ⋮ Generating series of the classes of exotic unordered configuration spaces ⋮ Higher order generalized Euler characteristics and generating series ⋮ Power structure over the Grothendieck ring of maps ⋮ Infinite product decomposition of orbifold mapping spaces ⋮ The universal Euler characteristic of \(V\)-manifolds

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