Shifted Partial Quadratics, their Pushforwards, and Signature Invariants for Tangles
Dror Bar-NatanAGDT Seminar
on 11/17/23
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.