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arxiv: 1811.08385 · v1 · pith:K662OP3Rnew · submitted 2018-11-20 · 🧮 math.DG · hep-th

Sasaki-Einstein Metrics on a class of 7-Manifolds

classification 🧮 math.DG hep-th
keywords classconnectedmanifoldsmetricssasaki-einsteincohomologyconstructiondistinguished
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In this note we give an explicit construction of Sasaki-Einstein metrics on a class of simply connected 7-manifolds with the rational cohomology of the 2-fold connected sum of $S^2\times S^5$. The homotopy types are distinguished by torsion in $H^4$.

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