G-minimality and invariant negative spheres inG-Hirzebruch surfaces

DOI10.1112/jtopol/jtv011zbMath1327.57027arXiv1312.0848OpenAlexW1898506069MaRDI QIDQ2947814

Weimin Chen

Publication date: 29 September 2015

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0848

zbMATH Keywords

classificationfour-manifoldminimalsymplectic\((-1)\)-sphere

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) Finite transformation groups (57S17)

Related Items

Resolving symplectic orbifolds with applications to finite group actions ⋮ On a class of symplectic $4$-orbifolds with vanishing canonical class ⋮ Symplectic rational \(G\)-surfaces and equivariant symplectic cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the orders of periodic diffeomorphisms of 4-manifolds
• Elements and cyclic subgroups of finite order of the Cremona group
• Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems
• Periodic maps on simply connected four-manifolds
• The topology of four-dimensional manifolds
• Rigidity of certain finite group actions on the complex projective plane
• Cappell-Shaneson homotopy spheres are standard
• More Cappell-Shaneson spheres are standard
• An exotic free involution on \(S^ 4\).
• Some new four-manifolds
• \(\Gamma\)-splitting 4-manifolds
• Exotic group actions in dimension four and Seiberg-Witten theory
• On the topological classification of pseudofree group actions on 4- manifolds. I
• Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with \(B^+=1\)
• The structure of branch points in minimal surfaces and in pseudoholomorphic curves
• Orbifold adjunction formula and symplectic cobordisms between lens spaces
• The genus of embedded surfaces in the projective plane
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• The blowup formula for Donaldson invariants
• Nongeneric \(J\)-holomorphic curves and singular inflation
• Smooth \(s\)-cobordisms of elliptic 3-manifolds
• Double point surgery and configurations of surfaces
• Exotic group actions on simply connected smooth 4-manifolds
• J-Holomorphic Curves in a Nef Class
• Smoothly embedded spheres in symplectic 4-manifolds
• On the Higher-Dimensional Smith Conjecture
• Corrigenda to: Introduction to Symplectic Topology
• Finite Subgroups of the Plane Cremona Group
• Group actions on 4-manifolds: some recent results and open questions
• The Generalized Smith Conjecture
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves