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

Abstract

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.

arXiv comment18 pages

References in corpus (2)

• The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
• Topological Orbifold Models and Quantum Cohomology Rings

Cited by in corpus (1)

• Motivic Donaldson-Thomas invariants and McKay correspondence