Leírás
We construct infinite families of exotic 4-manifolds with infinite dihedral fundamental group. This group is the non-trivial semi-direct product of Z and Z_2, or equivalently, the free product of Z_2 and Z_2. The key idea of the construction is to assemble simply-connected building blocks to construct the universal cover, and then to perform surgeries in an equivariant way.
The diffeomorphism types of these exotic manifolds are distinguished by the Seiberg-Witten invariants of their double covers, while to show that their homeomorphism type is the same, we use a recent result of Hillman-Kasprowski-Powell-Ray.
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