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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 2, Pages 18–26
DOI: https://doi.org/10.4213/faa3108 (Mi faa3108) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Moduli Space of Sheaves and a Generalization of MacMahon's Formula

A. Yu. Buryakab

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Amsterdam, Department of Mathematics
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DOI: https://doi.org/10.4213/faa3108
Abstract: M. Vuletic has recently found a two-parameter generalization of MacMahon's formula. In this paper we show that the coefficients in her formula are the Betti numbers of certain subvarieties in the moduli space of sheaves on the projective plane.
Keywords: moduli space, plane partition, quiver variety.
Received: 11.02.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 2, Pages 96–103
DOI: https://doi.org/10.1007/s10688-013-0014-z
Bibliographic databases:
Document Type: Article
UDC: 512.725
Language: Russian
Citation: A. Yu. Buryak, “The Moduli Space of Sheaves and a Generalization of MacMahon's Formula”, Funktsional. Anal. i Prilozhen., 47:2 (2013), 18–26; Funct. Anal. Appl., 47:2 (2013), 96–103
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3108
  • https://www.mathnet.ru/eng/faa/v47/i2/p18
    • This publication is cited in the following 1 articles:
    1. Cai L., Wang L., Wu K., Yang J., “the Vertex Operator For a Generalization of Macmahon'S Formula”, Int. J. Mod. Phys. A, 30:30 (2015), 1550176  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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