Perfect Morse functions and exotic S^2 x S^2's
Geometric Topology
2010-10-14 v2
Abstract
The main theorem of the paper shows that a smooth manifold which is homeomorphic to S^2xS^2 and has nonvanishing Ozsvath-Szabo invariant does not admit a perfect Morse function. I am withdrawing the paper because it is unclear to me if such a manifold exists.
Cite
@article{arxiv.1005.4674,
title = {Perfect Morse functions and exotic S^2 x S^2's},
author = {Jacob Rasmussen},
journal= {arXiv preprint arXiv:1005.4674},
year = {2010}
}
Comments
This paper has been withdrawn