The Nielsen realization problem for K3 surfaces

DOI10.4310/JDG/1717772420zbMATH Open1545.57022MaRDI QIDQ6562496

Eduard Looijenga, Benson Farb

Publication date: 26 June 2024

Published in: Journal of Differential Geometry (Search for Journal in Brave)

zbMATH Keywords

Nielsen realization problem for K3 surfacessmooth, metric and complex version of the Nielsen realization problem

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) (K3) surfaces and Enriques surfaces (14J28) Finite transformation groups (57S17)

Cites Work

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• Diffeomorphisms of a K3 surface
• Hyperkähler metrics and supersymmetry
• Seiberg-Witten theory and \(\mathbb{Z}/2^p\) actions on spin 4-manifolds
• Conformal geometry of Ricci flat 4-manifolds
• Gauge theory for embedded surfaces. II
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• On K3 surfaces with large Picard number
• Teichmüller spaces and Torelli theorems for hyperkähler manifolds
• Symplectic automorphisms of prime order on \(K3\) surfaces
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Finite symplectic actions on the \(K3\) lattice
• Characteristic Classes. (AM-76)
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Smoothly embedded spheres in symplectic 4-manifolds
• Involutions on Spin 4-Manifolds
• The Nielsen realization problem

Related Items (1)

Dehn twists and the Nielsen realization problem for spin 4-manifolds

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