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Stringy motives of symmetric products

Sergey Mozgovoy
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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.

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Sergey Mozgovoy. 2006-08-13. Stringy motives of symmetric products. https://arxiv.org/abs/math/0608323

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