Geodesic
Blowup relations on $\mathbb{C}^2/\mathbb{Z}_2$ from Nakajima--Yoshioka blowup relations
Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 225-244

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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. 
@article{TMF_2021_206_2_a6,
     author = {A. I. Shchechkin},
     title = {Blowup relations on $\mathbb{C}^2/\mathbb{Z}_2$ from {Nakajima--Yoshioka} blowup relations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {225--244},
     publisher = {mathdoc},
     volume = {206},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a6/}
}
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A. I. Shchechkin. Blowup relations on $\mathbb{C}^2/\mathbb{Z}_2$ from Nakajima--Yoshioka blowup relations. Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 225-244. http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a6/