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arXiv · 1605.07259

The simplification of singularities of Lagrangian and Legendrian fronts

Daniel Alvarez-Gavela
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Abstract

We establish a full $h-$principle ($C^0-$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.

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Daniel Alvarez-Gavela. 2016-05-24. The simplification of singularities of Lagrangian and Legendrian fronts. https://arxiv.org/abs/1605.07259

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