A. I. Shchechkin, “Blowup relations on <nobr>$\mathbb{C}^2/\mathbb{Z}_2$</nobr> from Nakajima–Yoshioka blowup relations”, TMF, 2021, Volume 206, Number 2,Pages <nobr>225

This article is cited in 4 papers

Blowup relations on $\mathbb{C}^2/\mathbb{Z}_2$ from Nakajima–Yoshioka blowup relations

A. I. Shchechkin^ab

^a Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
^b National Research University "Higher School of Economics", Moscow, Russia

Abstract: Using an elementary algebraic approach, from the Nakajima–Yoshioka blowup relations, we obtain bilinear relations for the Nekrasov partition functions arising in the study of the tau functions of quantum $q$-Painlevé equations. In addition, using this approach, we prove certain symmetry relations for Nekrasov partition functions modified by a Chern–Simons term.

Keywords: Nakajima–Yoshioka blowup relation, Nekrasov instanton partition function.

Received: 14.07.2020
Revised: 08.10.2020

DOI: 10.4213/tmf9957