Monopole Classes and Einstein Metrics
نویسنده
چکیده
We introduce the notion of a special monopole class on a four-manifold. This is used to prove restrictions on the smooth structures of Einstein manifolds. As an application we prove that there are Einstein four-manifolds which are simply connected, spin, and satisfy the strict Hitchin–Thorpe inequality, and which are homeomorphic to manifolds without Einstein metrics.
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