Symplectic isotopy on non-minimal ruled surfaces

Abstract

We prove the stability of $Symp(X,\omega )\cap Dif{f}_0(X)$ for a one-point blow-up of irrational ruled surfaces and study their topological colimit. Non-trivial generators of ${\pi }_0[Symp(X,\omega )\cap Dif{f}_0(X)]$ that differ from Lagrangian Dehn twists are detected.

29 pages, 3 figures. v2, rewrote inflation process in response to the referee; the same main results; improved presentation. To appear in Math Zeitschrift

References in corpus (5)

• The topology of the space of symplectic balls in rational 4-manifolds
• The homotopy type of the space of symplectic balls in rational ruled 4-manifolds
• Additivity and Relative Kodaira Dimensions
• Symplectic $(-2)$-spheres and the symplectomorphism group of small rational 4-manifolds, II
• Stability of the symplectomorphism group of rational surfaces