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The Chen-Ruan Cohomology of Almost Contact Orbifolds

Fan Ding·Yunfeng Jiang·Jianzhong Pan
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Abstract

Comparing to the Chen-Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifold. Using the methods for almost complex orbifolds (see [2]), we define the obstruction bundle for any 3-multisector of the almost contact orbifolds and the Chen-Ruan cup product for the Chen-Ruan cohomology. We also prove that under this cup product the direct sum of all dimensional orbifold cohomology groups constitutes a cohomological ring. Finally we calculate two examples.

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Fan Ding, Yunfeng Jiang, Jianzhong Pan. 2004-02-12. The Chen-Ruan Cohomology of Almost Contact Orbifolds. https://arxiv.org/abs/math/0402189

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