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arXiv · 0711.4481

Invariance property of orbifold elliptic genus for multi-fans

Akio hattori
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Abstract

Multi-fan is an analogous notion of fan. As a fan is associated to a toric variety a multi-fan is associated to a torus orbifold. Orbifold elliptic class and orbifold elliptic genus are defined for a triple of a multi-fan, a set of generating integral vectors of one dimensional cones and a $\mathbb{Q}$ divisor. They are shown to behave functorially with respect to birational morphisms between these triples. The result may be considered as a combinatorial or topological analogue of the main result of Borisov and Libgober, McKay correspondence for elliptic genera, Ann. of Math., 161 (2005).

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Akio hattori. 2007-11-28. Invariance property of orbifold elliptic genus for multi-fans. https://arxiv.org/abs/0711.4481

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