Smoothly embedded spheres in symplectic 4-manifolds - Concepedia

Concepedia

Publication | Open Access

Smoothly embedded spheres in symplectic 4-manifolds

DOI Full Paper Access

52

Citations

14

References

1999

Year

Proceedings of the American Mathematical Society

Global GeometryGeometrySymplectic 4-ManifoldsGlobal AnalysisEnumerative GeometryRiemannian ManifoldRuled SurfacesComplex Geometry

Abstract

We characterize rational or ruled surfaces among all symplectic 4-manifolds by the existence of certain smoothly embedded spheres.

References

	Year	Citations
Monopoles and four-manifolds Edward Witten Mathematical Research Letters	1994	826
The Seiberg-Witten invariants and symplectic forms Clifford Henry Taubes Mathematical Research Letters Symplectic FormsRepresentation TheoryManifold XOpposite ParityLie Algebra	1994	566
A mathematical theory of quantum cohomology Yongbin Ruan, Gang Tian Journal of Differential Geometry Spectral TheoryQuantum ScienceQuantum CohomologyEngineeringQuantum Field Theory	1995	510
The Genus of Embedded Surfaces in the Projective Plane P. B. Kronheimer, Tomasz Mrowka Mathematical Research Letters Geometry Of NumberSchubert Calculus'Thom ConjectureGeometryProjective Geometry	1994	475
Knots, links, and 4-manifolds Ronald Fintushel, Ronald J. Stern Inventiones mathematicae Enumerative GeometryKnot TheoryTopological Invariant	1998	328
SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves Clifford Henry Taubes Journal of the American Mathematical Society	1996	314
Immersed spheres in 4-manifolds and the immersed Thom conjecture Ronald Fintushel, Ronald J. Stern	1995	161
The local behaviour of holomorphic curves in almost complex 4-manifolds Dusa McDuff Journal of Differential Geometry	1991	146
A mathematical theory of quantum cohomology Yongbin Ruan, Gang Tian Mathematical Research Letters Spectral TheoryQuantum ScienceQuantum CohomologyEngineeringQuantum Field Theory	1994	138
Symplectic structure on ruled surfaces and a generalized adjunction formula Thomas Li, Alfred B.H. Liu Mathematical Research Letters	1995	133

Page 1