论文标题

$ \ Mathbb {c}^2/\ Mathbb {z} _2 $的爆炸关系

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

论文作者

Shchechkin, A.

论文摘要

我们从Nekrasov分区函数上获得双线性关系,这是由基本代数方法的Nakajima-Yoshioka爆炸关系的量子$ q $-painlevé方程的tau函数引起的。 另外,使用这种方法,我们证明了由Chern-Simons术语修改的Nekrasov分区函数的某些关系。

We obtain bilinear relations on Nekrasov partition functions, arising from study of tau functions of quantum $q$-Painlevé equations, from Nakajima-Yoshioka blowup relations by an elementary algebraic approach. Additionaly, using this approach, we prove certain relations on Nekrasov partition functions, modified by Chern-Simons term.

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