Isotopies of high genus Lagrangian surfaces

Abstract

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.

References in corpus (1)

• Compactness results in Symplectic Field Theory

Cited by in corpus (4)

• The symplectic geometry of cotangent bundles from a categorical viewpoint
• Unlinking and unknottedness of monotone Lagrangian submanifolds
• Topology of symplectomorphism groups and ball-swappings
• Ruled 4-manifolds and isotopies of symplectic surfaces