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Calabi-Yau Connections with Torsion on Toric Bundles

D. Grantcharov·G. Grantcharov·Y. S. Poon
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Abstract

We find sufficient conditions for a principal toric bundle over compact Kähler manifolds to admit Calabi-Yau connections with torsion. With the aids of a topological classification, we construct such geometry on $n(S^2\times S^4)#(n+1)(S^3\times S^3)$

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D. Grantcharov, G. Grantcharov, Y. S. Poon. 2006-11-28. Calabi-Yau Connections with Torsion on Toric Bundles. https://arxiv.org/abs/math/0306207

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