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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2013 Volume 47, Issue 2, Pages 18–26 (Mi faa3108)

This article is cited 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

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.

UDC: 512.725

Received: 11.02.2011

DOI: 10.4213/faa3108


 English version:
Functional Analysis and Its Applications, 2013, 47:2, 96–103

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