New Homotopy 4-Spheres
Geometric Topology
2011-01-18 v1
Abstract
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 and hence homeomorphic to but possibly not diffeomorphic to ). It is still unknown if these new examples are in fact exotic.
Cite
@article{arxiv.1101.2981,
title = {New Homotopy 4-Spheres},
author = {Daniel Nash},
journal= {arXiv preprint arXiv:1101.2981},
year = {2011}
}
Comments
11 pages, 5 figures