Crepant resolutions of a Slodowy slice in a nilpotent orbit closure in   $\mathfrak{sl}_N(\mathbb{C})$
  One of our results of this article is that every (projective) crepant resolution of a Slodowy slice in a nilpotent orbit closure in $\mathfrak{sl}_N(\mathbb{C})$ can be obtained as the restriction of some crepant resolution of the nilpotent orbit closure. We also show that there is a decomposition of the Slodowy slice into other Slodowy slices with good properties. From this decomposition, one can count the number of crepant resolutions. 
Ryo Yamagishi
math.AG