Exotic embeddings of $#6\Bbb R\roman{P}^2$ in the 4-sphere

Mathematics – Geometric Topology

Scientific paper

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13 pages, 8 figures

Scientific paper

We present an infinite sequence of smooth embeddings of a connected sum of 6
projective planes in the 4-sphere, which are all ambient homeomorphic, but
pairwise ambient non-diffeomorphic. The double covers of the 4-sphere ramified
along these surfaces form a family of the exotic $\Bbb CP^2#5\bar{\Bbb CP^2}$
constructed recently by Park, Stipsicz and Szab\'o.

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