Generating series of the poincaré polynomials of quasihomogeneous hilbert schemes

A. Buryak, B. L. Feigin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 slm.

Original languageEnglish
Title of host publicationSymmetries, Integrable Systems and Representations
Pages15-33
Number of pages19
DOIs
StatePublished - 2013
Externally publishedYes

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume40

All Science Journal Classification (ASJC) codes

  • General Mathematics

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