TY - JOUR
T1 - The simplification of singularities of Lagrangian and Legendrian fronts
AU - Álvarez-Gavela, Daniel
N1 - Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00222-018-0811-3
DO - 10.1007/s00222-018-0811-3
M3 - Article
AN - SCOPUS:85051674579
SN - 0020-9910
VL - 214
SP - 641
EP - 737
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
IS - 2
ER -