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Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces

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Abstract.

Using vertex algebra techniques, we determine a set of generators for the cohomology ring of the Hilbert schemes of points on an arbitrary smooth projective surface over the field of complex numbers.

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Authors and Affiliations

  1. Department of Mathematics, HKUST, Clear Water Bay, Kowloon, Hong Kong (e-mail: mawpli@uxmail.ust.hk) , Hong Kong

    Wei-ping Li

  2. Department of Mathematics, University of Missouri, Columbia, MO 65211, USA (e-mail: zq@math.missouri.edu) , USA

    Zhenbo Qin

  3. Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA (e-mail: ww9c@virginia.edu) , USA

    Weiqiang Wang

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  1. Wei-ping Li
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  2. Zhenbo Qin
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  3. Weiqiang Wang
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Li, Wp., Qin, Z. & Wang, W. Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces. Math. Ann. 324, 105–133 (2002). https://doi.org/10.1007/s002080200330

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  • DOI: https://doi.org/10.1007/s002080200330

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