Superheavy Lagrangian immersion in 2-torus
Symplectic Geometry
2017-01-06 v3
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 with the Fubini-Study symplectic form cannot be displaced by symplectomorphisms.
Keywords
Cite
@article{arxiv.1412.4495,
title = {Superheavy Lagrangian immersion in 2-torus},
author = {Morimichi Kawasaki},
journal= {arXiv preprint arXiv:1412.4495},
year = {2017}
}
Comments
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