Isotopies of high genus Lagrangian surfaces
We show that all Lagrangian submanifolds of the cotangent bundle of a Riemann surface which are homotopic to the zero section must be smoothly isotopic to the zero section.
math.SG↗
arXiv subjects
A. Ivrii
Publications and source records attributed to A. Ivrii.
Ruled 4-manifolds and isotopies of symplectic surfaces
We study symplectic surfaces in ruled symplectic 4-manifolds which are disjoint from a given symplectic section. As a consequence we see that, in any symplectic 4-manifold, two homologous symplectic surfaces which are sufficiently C^0 close must be Hamiltonian isotopic.
math.SG↗