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math.AG2005★ 26 cited
Instanton counting on blowup. II. -theoretic partition function
Hiraku Nakajima, Kota Yoshioka
We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the char…
math.AG2003★ 15 cited
Lectures on Instanton Counting
Hiraku Nakajima, Kota Yoshioka
These notes have two parts. The first is a study of Nekrasov's deformed partition functions $Z(\ve_1,\ve_2,\vec{a};\q,\vecτ)$ of N=2 SUSY Yang-Mills theories, which are generating…
math.AG1998
McKay correspondence and Hilbert schemes in dimension three
Yukari Ito, Hiraku Nakajima
Let be a nontrivial finite subgroup of $\SL_n(\C)$. Suppose that the quotient singularity $\C^n/G$ has a crepant resolution $π\colon X\to \C^n/G$ (i.e. $K_X = \shfO_X$). There…