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

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Date: 10/18/24
Speaker :Beke Márton

AGDT Seminar

Seminars

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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 Seiberg-Witten invariants of their universal covers. This is joint work with László Koltai and Sarah Zampa.

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