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On Regularized Elliptic Genera of ALE Spaces

2015/11/04 by Jian Zhou, Zhou, Jian · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1511.01191

arxiv created 2015/11/04 · arxiv updated 2015/11/05

Abstract

We define regularized elliptic genera of ALE space of type A by taking some regularized nonequivariant limits of their equivariant elliptic genera with respect to some torus actions. They turn out to be multiples of the elliptic genus of a K3 surface.

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