Generating series of the poincaré polynomials of quasihomogeneous hilbert schemes

A. Buryak*, B. L. Feigin

*Corresponding author for this work

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

4 Scopus citations

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
PublisherSpringer New York LLC
Pages15-33
Number of pages19
ISBN (Print)9781447148623
DOIs
StatePublished - 2013
Externally publishedYes

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume40
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

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