New Exotic four-manifolds with Z/2Z fundamental group

Beke, Márton and László, Koltai and Zampa, Sarah (2025) New Exotic four-manifolds with Z/2Z fundamental group. MICHIGAN MATHEMATICAL JOURNAL, accept. ISSN 0026-2285

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Abstract

We extend a construction of Stipsicz-Szabó of infinitely many irreducible exotic smooth structures of some closed four-manifolds with even b + 2 and fundamental group Z/2Z. We use the double node surgery and rational blow down constructions of Fintushel-Stern on some elliptic fibrations equipped with a free involution. The construction is done in an equivariant manner and the factor manifolds are distinguished by the SeibergWitten invariants of their universal covers.

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