Blowup relations on ℂ²/ℤ₂ from Nakajima-Yoshioka blowup relations

2020/06/15 by A. Shchechkin, Shchechkin, A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.2006.08582

16 pages, 1 figure

arxiv created 2020/06/15 · arxiv updated 2020/06/16

Abstract

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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