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Some Examples of Toric Sasaki—Einstein Manifolds

Some Examples of Toric Sasaki—Einstein Manifolds

A series of examples of toric Sasaki-Einstein 5-manifolds is constructed, which first appeared in the author's Ph.D. thesis [40]. These are submanifolds of the toric 3-Sasakian 7-manifolds of C. Boyer and K. Galicki. And there is a unique toric quasi-regular Sasaki-Einstein 5-manifold associated to every simply connected toric 3-Sasakian 7-manifold. …