BLOWUP RELATIONS ON C-2/Z(2) FROM NAKAJIMA-YOSHIOKA BLOWUP RELATIONS

摘要

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-Painleve equations. In addition, using this approach, we prove certain symmetry relations for Nekrasov partition functions modified by a Chern-Simons term.