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arXiv · 1202.5578

Almost complex structure, blowdowns and McKay correspondence in quasitoric orbifolds

Saibal Ganguli·Mainak Poddar
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Abstract

We prove the existence of invariant almost complex structure on any positively omnioriented quasitoric orbifold. We construct blowdowns. We define Chen-Ruan cohomology ring for any omnioriented quasitoric orbifold. We prove that the Euler characteristic of this cohomology is preserved by a crepant blowdown. We prove that the Betti numbers are also preserved if dimension is less or equal to six. In particular, our work reveals a new form of McKay correspondence for orbifold toric varieties that are not Gorenstein. We illustrate with an example.

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Saibal Ganguli, Mainak Poddar. 2012-02-24. Almost complex structure, blowdowns and McKay correspondence in quasitoric orbifolds. https://arxiv.org/abs/1202.5578

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