Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
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/
[1] A. Bialynicki-Birula, “Some theorems on actions of algebraic groups”, Ann. of Math. (2), 98 (1973), 480–497 | DOI | MR | Zbl
[2] A. Bialynicki-Birula, “Some properties of the decompositions of algebraic varieties determined by actions of a torus”, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 24:9 (1976), 667–674 | MR | Zbl
[3] A. Buryak, “The classes of the quasihomogeneous Hilbert schemes of points on the plane”, Mosc. Math. J., 12:1 (2012), 21–36 ; arXiv: 1011.4459 | DOI | MR | Zbl
[4] M. Ciucu, Plane partitions I: A generalization of MacMahon's formula, arXiv: 9808017
[5] E. Looijenga, “Motivic measures”, Seminaire Bourbaki, vol. 1999/2000, Asterisque, 276, 2002, 267–297 | MR | Zbl
[6] H. Nakajima, Lectures on Hilbert Schemes of Points on Surfaces, Amer. Math. Soc., Providence, RI, 1999 | MR | Zbl
[7] H. Nakajima, K. Yoshioka, “Instanton counting on blowup. I. $4$-dimensional pure gauge theory”, Invent. Math., 162:2 (2005), 313–355 | DOI | MR | Zbl
[8] H. Nakajima, K. Yoshioka, “Lectures on instanton counting”, Algebraic structures and moduli spaces, CRM Proc. Lecture Notes, 38, Amer. Math. Soc., Providence, RI, 2004, 31–101 | DOI | MR | Zbl
[9] A. Okounkov, N. Reshetikhin, “Correlation function of Schur process with application to local geometry of a random $3$-dimensional Young diagram”, J. Amer. Math. Soc., 16:3 (2003), 581–603 | DOI | MR | Zbl
[10] J.-P. Serre, “Espaces fibres algebriques”, Exposes de Seminaires 1950-1999, Doc. Math., 1, Soc. Math. France, 2001, 107–139 | MR
[11] R. Stenli, Perechislitelnaya kombinatorika. Derevya, proizvodyaschie funktsii i simmetricheskie funktsii, Mir, M., 2005 | MR
[12] M. Vuletic, “A generalization of MacMahon's formula”, Trans. Amer. Math. Soc., 361:14 (2009), 2789–2804 | MR | Zbl
[13] M. Vuletic, The Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions, Int. Math. Res. Notices, 2007, 2007 | MR