Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces

preprint2010arXivOpen access

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.

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Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces

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Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces