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A dichotomy in dimension four

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Inanc Baykur
University of Massachusetts-Amherst
Die, 23/04/2024 - 11:45 - 13:00
MPIM Lecture Hall

Does every four-manifold admit either no smooth structure or infinitely many of them? I'll report on recent work, joint with A. Stipsicz and Z. Szabó, addressing this question for four-manifolds with finite cyclic fundamental groups. A bonus discussion may feature fake projective planes in the context of yet another dichotomy.

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