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 slm. © Springer-Verlag London 2013.
CITATION STYLE
Buryak, A., & Feigin, B. L. (2013). Generating series of the poincaré polynomials of quasihomogeneous hilbert schemes. In Springer Proceedings in Mathematics and Statistics (Vol. 40, pp. 15–33). Springer New York LLC. https://doi.org/10.1007/978-1-4471-4863-0_2
Mendeley helps you to discover research relevant for your work.