Generating series of intersection numbers on Hilbert schemes of points

Abstract

We compute some generating series of integrals related to tautological bundles on Hilbert schemes of points on surfaces S[n], including the intersection numbers of two Chern classes of tautological bundles, and the Euler characteristics of Λ__yTS^[n]. We also propose some related conjectures, including an equivariant version of Lehn’s conjecture.

Keywords

Hilbert scheme / tautological sheaf / intersection number

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Higher Education Press and Springer-Verlag GmbH Germany