Moscow Mathematical Journal
Volume 20, Issue 3, July–September 2020 pp. 531–573.
Functional Equations of Nekrasov Functions Proposed by Ito, Maruyoshi, and Okuda
Authors:
Ryo Ohkawa (1)
Author institution:(1) Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
Summary:
We prove functional equations of Nekrasov partition functions for A1-singularity, suggested by Ito, Maruyoshi, and Okuda. Our proof is given by the computation similar to that from a recent paper by the author. This is the method by Nakajima and Yoshioka based on the theory of wall-crossing formula developed by Mochizuki.
2010 Math. Subj. Class. 14D21, 57R57
Keywords: Nekrasov partition functions, framed sheaves, instantons.
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