Mathematics – Geometric Topology
Scientific paper
2007-03-10
Mathematics
Geometric Topology
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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