Symplectic \(4\)-manifolds on the Noether line and between the Noether and half Noether lines
From MaRDI portal
Publication:2665239
DOI10.1007/s10711-021-00655-6zbMath1485.57019arXiv1909.04771OpenAlexW3200292162MaRDI QIDQ2665239
Publication date: 18 November 2021
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.04771
Singularities of surfaces or higher-dimensional varieties (14J17) Kähler manifolds (32Q15) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Differentiable structures in differential topology (57R55) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41) Symplectic structures in 4 dimensions (57K43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex plumbings and Lefschetz fibrations
- Exotic 4-manifolds with \(b_ 2^ + =1\)
- Configurations of Kodaira fibers on rational elliptic surfaces
- The topology of four-dimensional manifolds
- Simply connected minimal symplectic 4-manifolds with signature less than \(-1\)
- Construction of exotic smooth structures
- On extremal rational elliptic surfaces
- Rational blowdowns of smooth 4-manifolds
- Nonsymplectic 4-manifolds with one basic class
- Rational surfaces and symplectic \(4\)-manifolds with one basic class
- Simply connected symplectic 4-manifolds with \(b_2^+ = 1\) and \(c_1^2 = 2\)
- Monopoles and four-manifolds
- The Seiberg-Witten invariants and symplectic forms
- A new construction of symplectic manifolds
- Genus \(2\) Lefschetz fibrations with \(b^+_2=1\) and \(c_1^2=1,2\)
- An exotic smooth structure on {\(\mathbb C\mathbb P^ 2\#6\overline{\mathbb C\mathbb P^ 2}\)}
- Singular fibers in elliptic fibrations on the rational elliptic surface
- Rational blow-down along wahl type plumbing trees of spheres
- On compact analytic surfaces. III
- On compact analytic surfaces. II
- Surgery along star-shaped plumbings and exotic smooth structures on 4-manifolds
- Comparing star surgery to rational blow-down
- The Structure of Rational and Ruled Symplectic 4-Manifolds
- Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds
- Corrigenda to: Introduction to Symplectic Topology
- RATIONAL BLOW-DOWNS AND NONSYMPLECTIC 4-MANIFOLDS WITH ONE BASIC CLASS
- Double node neighborhoods and families of simply connected 4-manifolds with 𝑏⁺=1
