Exotic definite four-manifolds with non-trivial fundamental group

Andras I. Stipsicz; Zoltan Szabo

Exotic definite four-manifolds with non-trivial fundamental group

Geometric Topology 2023-10-30 v4

Authors: Andras I. Stipsicz , Zoltan Szabo

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 $b_2^+$ .

Keywords

exotic smooth structures definite four-manifolds fundamental group intersection form

Cite

@article{arxiv.2308.08388,
  title  = {Exotic definite four-manifolds with non-trivial fundamental group},
  author = {Andras I. Stipsicz and Zoltan Szabo},
  journal= {arXiv preprint arXiv:2308.08388},
  year   = {2023}
}

Comments

13 pages, 3 figures, minor changes, references added

Related papers

View all related →