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Smooth structures on a fake real projective space
Published in Elsevier BV
2016
Volume: 206
   
Pages: 1 - 7
Abstract

We show that the group of smooth homotopy 7-spheres acts freely on the set of smooth manifold structures on a topological manifold M which is homotopy equivalent to the real projective 7-space. We classify, up to diffeomorphism, all closed manifolds homeomorphic to the real projective 7-space. We also show that M has, up to diffeomorphism, exactly 28 distinct differentiable structures with the same underlying PL structure of M and 56 distinct differentiable structures with the same underlying topological structure of M.

About the journal
JournalData powered by TypesetTopology and its Applications
PublisherData powered by TypesetElsevier BV
Open AccessNo