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arxiv: 1510.08528 · v1 · pith:W6UFZZU2new · submitted 2015-10-29 · 🧮 math.AG · hep-th

On Equivariant Elliptic Genera of Toric Calabi-Yau 3-folds

classification 🧮 math.AG hep-th
keywords calabi-yauellipticequivariantfoldsgeneratoricformsjacobi
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We show that equivariant elliptic genera of toric Calabi-Yau 3-folds are generalized weak Jacobi forms. We also introduce a notion of averaged equivariant elliptic genera of toric Calabi-Yau 3-folds, and show that they are ordinary weak Jacobi forms given by an explicit formula predicted by Eguchi and Sugawara.

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