Abstract
We establish a full h-principle (C0-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.
Original language | English (US) |
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Pages (from-to) | 641-737 |
Number of pages | 97 |
Journal | Inventiones Mathematicae |
Volume | 214 |
Issue number | 2 |
DOIs | |
State | Published - Nov 1 2018 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)