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

2000/09/30 by Wei-ping Li, Zhenbo Qin, Weiqiang Wang · 1 citation
Mathematics · #math.AG #math.QA

paper · pdf

published as Math. Ann. 324 (2002), 105--133. · 25 pages, amstex, references updated, to appear in Math. Ann

arxiv created 2002/03/14 · arxiv updated 2009/11/30

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.

Cited by

• Equivariant Chern character operators and Okounkov's conjecture

Related

• Generators for the cohomology ring of Hilbert schemes of points on surfaces
• Algebraic structures behind Hilbert schemes and wreath products
• Generating series in the cohomology of Hilbert schemes of points on surfaces
• Stability of the cohomology rings of Hilbert schemes of points on surfaces
• Ideals of the cohomology rings of Hilbert schemes and their applications