Corpus ID: 119320766

Local intersections of Lagrangian manifolds correspond to catastrophe theory

  title={Local intersections of Lagrangian manifolds correspond to catastrophe theory},
  author={Christian Offen},
  journal={arXiv: Symplectic Geometry},
  • Christian Offen
  • Published 2018
  • Mathematics
  • arXiv: Symplectic Geometry
  • Two smooth map germs are right-equivalent if and only if they generate two Lagrangian submanifolds in a cotangent bundle which have the same contact with the zero-section. In this paper we provide a reverse direction to this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian submanifold if and only if the intersection problems correspond to stably right equivalent map germs. We, therefore, obtain a… CONTINUE READING
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