# 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 $A_{1}$-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.