Symplectic rational \(G\)-surfaces and equivariant symplectic cones

DOI10.4310/jdg/1632506334zbMath1484.14028arXiv1708.07500OpenAlexW3201915418WikidataQ115164181 ScholiaQ115164181MaRDI QIDQ2073261

Yanyan Li

Publication date: 1 February 2022

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

Full work available at URL: https://arxiv.org/abs/1708.07500

zbMATH Keywords

rational surfacefinite group actionCremona groupsymplectomorphism group

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Birational automorphisms, Cremona group and generalizations (14E07) Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Finite transformation groups (57S17) Symplectic structures in 4 dimensions (57K43)

Related Items (1)

Resolving symplectic orbifolds with applications to finite group actions

Cites Work

• Packing numbers of rational ruled four-manifolds
• The embedding capacity of 4-dimensional symplectic ellipsoids
• Lagrangian spheres, symplectic surfaces and the symplectic mapping class group
• Aspects of group actions on four-manifolds
• Symplectic genus, minimal genus and diffeomorphisms
• Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with \(B^+=1\)
• Orbifold adjunction formula and symplectic cobordisms between lens spaces
• Smooth \(s\)-cobordisms of elliptic 3-manifolds
• G-minimality and invariant negative spheres inG-Hirzebruch surfaces
• Group actions on 4-manifolds: some recent results and open questions

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