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Conifolds and Exotic Spheres
First of all, a disclaimer: I'm a physicist trying to understand mathematical aspects of some solutions I've encountered while studying string theory, and am certainly not a mathematician of any sort....
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No, the authors are not suggesting that the two manifolds are homeomorphic and not diffeomorphic.Your two manifolds are Riemannian manifolds: smooth manifolds equipped with a Riemannian metric. The...
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