Instanton counting on blowup. II. $K$-theoretic partition function
| dc.creator | Nakajima, Hiraku | |
| dc.creator | Yoshioka, Kota | |
| dc.date | 2005-05-25 | |
| dc.date.accessioned | 2026-07-07T05:20:16Z | |
| dc.date.available | 2026-07-07T05:20:16Z | |
| dc.description | We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the characters of the coordinate rings of the moduli spaces of instantons on $\mathbb R^4$. We show that it satisfies a system of functional equations, called blowup equations, whose solution is unique. As applications, we prove (a) logarithm of the partition function times $ε_1ε_2$ is regular at $ε_1 = ε_2 = 0$, (a part of Nekrasov's conjecture), and (b) the genus 1 parts, which are first several Taylor coefficients of the logarithm of the partition function, are written explicitly in terms of the Seiberg-Witten curves in rank 2 case. | |
| dc.description | 26 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0505553 | |
| dc.identifier | http://arxiv.org/abs/math/0505553 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75318 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Primary 14D21; Secondary 57R57, 81T13, 81T60 | |
| dc.title | Instanton counting on blowup. II. $K$-theoretic partition function | |
| dc.type | text |