The simplification of singularities of Lagrangian and Legendrian fronts
Symplectic Geometry
2017-04-07 v2 Geometric Topology
Abstract
We establish a full principle (close, relative, parametric) for the simplification of singularities of Lagrangian and Legendrian fronts. More precisely, we prove that if there is no homotopy theoretic obstruction to simplifying the singularities of tangency of a Lagrangian or Legendrian submanifold with respect to an ambient foliation by Lagrangian or Legendrian leaves, then the simplification can be achieved by means of a Hamiltonian isotopy.
Keywords
Cite
@article{arxiv.1605.07259,
title = {The simplification of singularities of Lagrangian and Legendrian fronts},
author = {Daniel Alvarez-Gavela},
journal= {arXiv preprint arXiv:1605.07259},
year = {2017}
}
Comments
77 pages, 54 figures. Comments welcome!