Symplectic isotopy on non-minimal ruled surfaces

DOI10.1007/s00209-023-03298-3zbMath1526.53082arXiv2010.04616MaRDI QIDQ6160248

No author found.

Publication date: 23 June 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04616

zbMATH Keywords

topological stabilitysymplectomorphism groupssymplectic coneexotic symplectomorphismsnon-minimal ruled surfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Stability of topological dynamical systems (37B25) Symplectic manifolds (general theory) (53D05) Symplectic and contact topology in high or arbitrary dimension (57R17) Symplectic aspects of Floer homology and cohomology (53D40) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Canonical transformations in symplectic and contact geometry (53D22) Symplectic field theory; contact homology (53D42)

Related Items (1)

Symplectic mapping class groups of blowups of tori

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane
• The symplectic mapping class group of \(\mathbb{C}P^2\# n\overline{\mathbb{C}P^2}\) with \(n \leq 4\)
• The topology of the space of symplectic balls in rational 4-manifolds
• Negative inflation and stability in symplectomorphism groups of ruled surfaces
• Symplectic forms and surfaces of negative square
• Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds
• The homotopy type of the space of symplectic balls in rational ruled 4-manifolds
• Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
• Topology of symplectomorphism groups of \(S^2\times S^2\)
• Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with \(B^+=1\)
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• Moduli space of \(J\)-holomorphic subvarieties
• Elliptic diffeomorphisms of symplectic 4-manifolds
• Symplectic \((-2)\)-spheres and the symplectomorphism group of small rational 4-manifolds
• Compatible complex structures on symplectic rational ruled surfaces
• Topology of symplectomorphism groups of rational ruled surfaces
• The curve cone of almost complex 4-manifolds
• Additivity and Relative Kodaira Dimensions
• Mapping class groups and their relationship to braid groups

This page was built for publication: Symplectic isotopy on non-minimal ruled surfaces