Hypercomplex Structures from 3-Sasakian Structures
نویسندگان
چکیده
This paper describes certain hypercomplex manifolds as circle V-bundles over 3-Sasakian orbifolds. Our techniques involve both 3-Sasakian and hypercomplex reduction. In general dimension most of the quotients exist only as hypercomplex orbifolds; however, we construct a large family of compact simply connected smooth 8-manifolds whose second integral homology group is free with arbitrary rank. We also construct hypercomplex manifolds in any dimension 4n whose second Betti number is either 1 or 2.
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