New Homotopy 4-Spheres

Details New Homotopy 4-Spheres New Homotopy 4-Spheres

2011-01-15

arxiv.org/abs/1101.2981v1

Mathematics

Geometric Topology

11 pages, 5 figures

Scientific paper

We use surgery along 2-tori embedded in a union of two copies of a product of
punctured 2-tori to produce a new collection of homotopy 4-spheres (4-manifolds
homotopy equivalent to $S^4$ and hence homeomorphic to $S^4$ but possibly not
diffeomorphic to $S^4$). It is still unknown if these new examples are in fact
exotic.

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