Exotic definite four-manifolds with non-trivial fundamental group

2023/08/16 by Stipsicz, Andras I., Szabo, Zoltan · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2308.08388

Abstract

Inspired by a recent result of Levine-Lidman-Piccirillo, we construct infinitely many exotic smooth structures on some closed four-manifolds with definite intersection form and fundamental group isomorphic to \Z /2\Z. Similar constructions provide exotic smooth structures on further four-manifolds with fundamental group Z/2\Z, including examples with even b₂⁺.

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