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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 206, Number 2, Pages 225–244
DOI: https://doi.org/10.4213/tmf9957 (Mi tmf9957) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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

A. I. Shchechkinab

a Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
b National Research University "Higher School of Economics", Moscow, Russia
Full-text PDF (609 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9957
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.
Funding agency Grant number
Russian Science Foundation 16-11-10316
Ministry of Education and Science of the Russian Federation 5-100
National Research University Higher School of Economics
This research is supported in part by the HSE University Basic Research Program and Russian Academic Excellence Project ‘5-100.’ The classification of $(-2)$ bilinear relations (Secs. 3.2 and 3.3) was supported by a grant from the Russian Science Foundation (Project No. 16-11-10316).
Received: 14.07.2020
Revised: 08.10.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 206, Issue 2, Pages 199–215
DOI: https://doi.org/10.1134/S0040577921020070
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Shchechkin, “Blowup relations on $\mathbb{C}^2/\mathbb{Z}_2$ from Nakajima–Yoshioka blowup relations”, TMF, 206:2 (2021), 225–244; Theoret. and Math. Phys., 206:2 (2021), 199–215
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\issue 2
\pages 199--215
\crossref{https://doi.org/10.1134/S0040577921020070}
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  • https://www.mathnet.ru/eng/tmf/v206/i2/p225
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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