Abstract
We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies on the computation of equivariant cohomologies and is illustrated for several explicit examples. In this way, we compute the Hodge numbers for all discrete quotients obtained in Braun’s classification [1].
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The data for CICYs and their symmetries can be found at http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/CicyQuotients/index.html.
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ArXiv ePrint: 1607.01830
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Constantin, A., Gray, J. & Lukas, A. Hodge numbers for all CICY quotients. J. High Energ. Phys. 2017, 1 (2017). https://doi.org/10.1007/JHEP01(2017)001
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DOI: https://doi.org/10.1007/JHEP01(2017)001