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_ y TS [n]. We also propose some related conjectures, including an equivariant version of Lehn’s conjecture.
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Acknowledgements
The second author was partially supported by the National Natural Science Foundation of China (Grant No. 11171174).
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Wang, Z., Zhou, J. Generating series of intersection numbers on Hilbert schemes of points. Front. Math. China 12, 1247–1264 (2017). https://doi.org/10.1007/s11464-017-0686-5
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DOI: https://doi.org/10.1007/s11464-017-0686-5