The Moduli Space of Sheaves and a Generalization of MacMahon's Formula
Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 2, pp. 18-26

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : moduli space, plane partition
Keywords: quiver variety.
@article{FAA_2013_47_2_a2,
     author = {A. Yu. Buryak},
     title = {The {Moduli} {Space} of {Sheaves} and a {Generalization} of {MacMahon's} {Formula}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {18--26},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2013_47_2_a2/}
}
TY  - JOUR
AU  - A. Yu. Buryak
TI  - The Moduli Space of Sheaves and a Generalization of MacMahon's Formula
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2013
SP  - 18
EP  - 26
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2013_47_2_a2/
LA  - ru
ID  - FAA_2013_47_2_a2
ER  - 
%0 Journal Article
%A A. Yu. Buryak
%T The Moduli Space of Sheaves and a Generalization of MacMahon's Formula
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2013
%P 18-26
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2013_47_2_a2/
%G ru
%F FAA_2013_47_2_a2
A. Yu. Buryak. The Moduli Space of Sheaves and a Generalization of MacMahon's Formula. Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 2, pp. 18-26. http://geodesic.mathdoc.fr/item/FAA_2013_47_2_a2/