Exotic definite four-manifolds with non-trivial fundamental group

Andras I. Stipsicz; Zoltan Szabo

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arXiv · 2308.08388

Exotic definite four-manifolds with non-trivial fundamental group

Andras I. Stipsicz·Zoltan Szabo

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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 $b_2^+$.

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BibTeX RIS

Andras I. Stipsicz, Zoltan Szabo. 2023-08-16. Exotic definite four-manifolds with non-trivial fundamental group. https://arxiv.org/abs/2308.08388

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