Stringy motives of symmetric products
Algebraic Geometry
2007-05-23 v1
Abstract
Given a complex smooth algebraic variety X, we compute the generating function of the stringy motives of its symmetric powers as a function of motive of X. In dimension two we recover the Goettsche formulas for Hilbert schemes. We use the formalism of lambda-rings to get a particularly compact formula, which is convenient for explicit computations.
Keywords
Cite
@article{arxiv.math/0608323,
title = {Stringy motives of symmetric products},
author = {Sergey Mozgovoy},
journal= {arXiv preprint arXiv:math/0608323},
year = {2007}
}