On the immersion classes of nearby Lagrangians
Symplectic Geometry
2017-05-17 v3 Algebraic Topology
Abstract
We show that the transfer map on Floer homotopy types associated to an exact Lagrangian embedding is an equivalence. This provides an obstruction to representing isotopy classes of Lagrangian immersions by Lagrangian embeddings, which, unlike previous obstructions, is sensitive to information that cannot be detected by Floer cochains. We show this by providing a concrete computation in the case of spheres.
Keywords
Cite
@article{arxiv.1305.6810,
title = {On the immersion classes of nearby Lagrangians},
author = {Mohammed Abouzaid and Thomas Kragh},
journal= {arXiv preprint arXiv:1305.6810},
year = {2017}
}
Comments
14 pages. Minor revisions in the second version. Minor revisions in the third version and accepted for publication by the Journal of Topology