Smooth structures on four-manifolds with finite cyclic fundamental groups

Autor:	Baykur, R. Inanc, Stipsicz, Andras I., Szabo, Zoltan
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely many distinct smooth structures up to diffeomorphism. Moreover, we construct infinite families of non-complex irreducible fake projective planes with diverse fundamental groups. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.09007 Zobrazit plný text záznamu View this record from Arxiv