Calabi-Yau Connections with Torsion on Toric Bundles

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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 $n(S^2\times S^4)#(n+1)(S^3\times S^3)$
18 pages, final version to appear in J.Diff.Geom

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