The generalized Kummer construction and the cohomology rings of G₂-manifolds
classification
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math.DGmath.GT
keywords
cohomologyconstructiongeneralizedkummermanifoldscalculateconstructeddemonstrate
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We demonstrate how by using the intersection theory to calculate the cohomology of $G_2$-manifolds constructed by using the generalized Kummer construction. For one example we find the generators of the rational cohomology ring and describe the product structure.
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