Superheavy Lagrangian immersion in 2-torus

Abstract

We show that the union of a meridian and a longitude of the symplectic 2-torus is superheavy in the sense of Entov-Polterovich. By a result of Entov-Polterovich, this implies that the product of this union and the Clifford torus of $\mathbb{C}{P}^n$ with the Fubini-Study symplectic form cannot be displaced by symplectomorphisms.

11 pages, minor corrections, to appear in Journal of Symplectic Geometry as "Superheavy Lagrangian immersions in surfaces". Note that this version is very different from the one to be published in many respects

References in corpus (1)

• Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces

Cited by in corpus (2)

• Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
• Spectral invariants of distance functions