Perfect Morse functions and exotic S² x S²'s
classification
🧮 math.GT
keywords
manifoldmorseperfectadmitbecauseexistsexoticfunction
read the original 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.
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