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Generating series of intersection numbers on Hilbert schemes of points |
Zhilan WANG1( ), Jian ZHOU2 |
1. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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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.
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Hilbert scheme
tautological sheaf
intersection number
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Corresponding Author(s):
Zhilan WANG
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Issue Date: 30 September 2017
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