Smoothability of $\mathbb {Z}\times \mathbb {Z}$-actions on 4-manifolds

DOI10.1090/S0002-9939-10-10413-4zbMath1205.57020arXiv0902.3172MaRDI QIDQ3581118

Nobuhiro Nakamura

Publication date: 16 August 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3172

zbMATH Keywords

group actionEnriques surfacesmoothability

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Group actions on manifolds and cell complexes in low dimensions (57M60) Smoothing in differential topology (57R10)

Related Items (7)

Constraints on families of smooth 4-manifolds from Bauer-Furuta invariants ⋮ Constraints on families of smooth 4-manifolds from \(\operatorname{Pin}^-(2)\)-monopole ⋮ Characteristic classes via 4-dimensional gauge theory ⋮ Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds ⋮ Nonsmoothable actions of \(\mathbb{Z}_2\times\mathbb{Z}_2\) on spin four-manifolds ⋮ Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory ⋮ The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary

Cites Work

• Unnamed Item
• Aspects of group actions on four-manifolds
• Smooth structures on algebraic surfaces with cyclic fundamental group
• An obstruction to smooth isotopy in dimension \(4\)
• Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants
• The Seiberg-Witten equations for families and diffeomorphisms of 4-manifolds
• Characteristic cohomotopy classes for families of 4-manifolds
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)

This page was built for publication: Smoothability of $\mathbb {Z}\times \mathbb {Z}$-actions on 4-manifolds