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Bibliographic Details
Main Authors:	Baykur, R. Inanc, Stipsicz, Andras I., Szabo, Zoltan
Format:	Preprint
Published:	2024
Subjects:	Geometric Topology Differential Geometry
Online Access:	https://arxiv.org/abs/2406.09007
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Table of Contents:

For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely many distinct smooth structures up to diffeomorphism. Moreover, we construct infinite families of non-complex irreducible fake projective planes with diverse fundamental groups.