%0 Journal Article %T Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces %A Haitao Liu %J Mathematics %D 2010 %I arXiv %X In this note, we investigate the detailed relationship between the orbifold partition counting and the (l-quotient, l-core) pair counting. We show that the orbifold partition counting is exactly the same as the (l-quotient, l-core) pair counting. %U http://arxiv.org/abs/1009.3324v2