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

Sergey Finashin

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

Geometric Topology 2007-05-23 v1

Authors: Sergey Finashin

Abstract

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.

Keywords

exotic embeddings projective planes 4-sphere connected sum ambient diffeomorphism double covers

Cite

@article{arxiv.math/0703285,
  title  = {Exotic embeddings of $#6\Bbb R\roman{P}^2$ in the 4-sphere},
  author = {Sergey Finashin},
  journal= {arXiv preprint arXiv:math/0703285},
  year   = {2007}
}

Comments

13 pages, 8 figures

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