Perfect Morse functions and exotic S^2 x S^2's

Details Perfect Morse functions and exotic S^2 x S^2's Perfect Morse functions and exotic S^2 x S^2's

2010-05-25

arxiv.org/abs/1005.4674v2

Mathematics

Geometric Topology

This paper has been withdrawn

Scientific paper

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.

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