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

Abstract

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.

arXiv comment14 pages, minor corrections

References in corpus (7)

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• The Omega Deformation, Branes, Integrability, and Liouville Theory
• Multi instanton calculus on ALE spaces
• Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
• Instantons on ALE spaces and orbifold partitions
• A Combinatorial Study on Quiver Varieties
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