Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces
Haitao Liu
TL;DR
This paper explores the relationship between orbifold partition counting and (l-quotient, l-core) pair counting on $A_{l-1}$ ALE spaces, establishing their equivalence in a detailed manner.
Contribution
It demonstrates that orbifold partition counting is exactly the same as (l-quotient, l-core) pair counting, clarifying their relationship.
Findings
Orbifold partition counting equals (l-quotient, l-core) pair counting.
Provides a detailed analysis of 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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology