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

Published 25 May 2010 in math.GT | (1005.4674v2)

Abstract: The main theorem of the paper shows that a smooth manifold which is homeomorphic to S^2xS² 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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Authors (1)

Jacob Rasmussen

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