Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes

Authors
Publication date 2013
Host editors
  • K. Iohara
  • S. Morier-Genoud
  • B. Rémy
Book title Symmetries, Integrable Systems and Representations
ISBN
  • 9781447148623
ISBN (electronic)
  • 9781447148630
Series Springer Proceedings in Mathematics & Statistics
Event Symmetries, Integrable Systems and Representation
Pages (from-to) 15-33
Publisher London: Springer
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this paper we prove that the generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infinite product. We also compute the generating series of the numbers of quasihomogeneous components in a moduli space of sheaves on the projective plane. The answer is given in terms of characters of the affine Lie algebra slˆm .
Document type Conference contribution
Language English
Published at https://doi.org/10.1007/978-1-4471-4863-0_2
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