Stringy motives of symmetric products

Details Stringy motives of symmetric products Stringy motives of symmetric products

2006-08-13

arxiv.org/abs/math/0608323v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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