Singular maps on exotic 4–manifold pairs

Kalmár, Boldizsár¹ ; Stipsicz, András I¹

¹Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Realtanoda U. 13–15, 1053 Budapest, Hungary

Algebraic and Geometric Topology, Tome 13 (2013) no. 3, pp. 1709-1731

Résumé

We show examples of pairs of smooth, compact, homeomorphic 4–manifolds, whose diffeomorphism types are distinguished by the topology of the singular sets of smooth stable maps defined on them. In this distinction we rely on results from Seiberg–Witten theory.

Détail

DOI : 10.2140/agt.2013.13.1709

Classification : 57R55, 57R45, 57M50, 57R15
Keywords: $4$–manifold, smooth structure, stable map, genus function, Seiberg–Witten invariant

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