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, 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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The third author is supported in part by NSFC Project 60603004, 10631060
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Ding, F., Jiang, Y.F. & Pan, J.Z. The Chen-Ruan cohomology of almost contact orbifolds. Acta. Math. Sin.-English Ser. 26, 77–88 (2010). https://doi.org/10.1007/s10114-010-6623-z
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DOI: https://doi.org/10.1007/s10114-010-6623-z