… (quasi-classical) Nekrasov functions which coincide not only … The Nekrasov integrals can
be considered as an appropriate … show how expansion in Nekrasov functions generalizes the …

… In this paper we investigate nonsingularity of a generalized Nekrasov matrix and present …
a diagonally dominant matrix or a generalized Nekrasov matrix to be a generalized diagonally …

… prepotential, providing the full Nekrasov function Z(a… Nekrasov prepotential F(a|ǫ1) in the
simplest case of SU(2) theory. We begin in section 2 with extracting F(a|ǫ1) from the Nekrasov …

… We suggested in 2009 that the Nekrasov function with one non-vanishing deformation … This
provides an explicit formulation of the earlier guess by Nekrasov and Shatashvili in 2009. In …

This article reviews the generalization of field theory to space-time with noncommuting
coordinates, starting with the basics and covering most of the active directions of research. Such …

Targeted genome engineering (also known as genome editing) has emerged as an alternative
to classical plant breeding and transgenic (GMO) methods to improve crop plants. Until …

… conformal block and Nekrasov function requires a nontrivial rewriting of the Vandermonde
determinant (which is the product of all-with-all form) into the sum of Nekrasov form (which is …

Highlights • Cas9 is an RNA-guided DNA endonuclease innate to prokaryotic immune
systems. • CRISPR/Cas9 has recently emerged as a powerful genome editing tool. • CRISPR/…

Gieseker-Nakajima moduli spaces $M_{k}(n)$ parametrize the charge $k$ noncommutative
$U(n)$ instantons on ${\bf R}^{4}$ and framed rank $n$ torsion free sheaves $\mathcal{E}$ …

Supersymmetric vacua of two dimensional N = 4 gauge theories with matter, softly broken by
the twisted masses down to N = 2, are shown to be in one-to-one correspondence with the …