Pseudodifferential operators on manifolds with fibred corners

  title={Pseudodifferential operators on manifolds with fibred corners},
  author={C. Debord and J. Lescure and Fr'ed'eric Rochon},
  journal={arXiv: Differential Geometry},
One way to geometrically encode the singularities of a stratified pseudomanifold is to endow its interior with an iterated fibred cusp metric. For such a metric, we develop and study a pseudodifferential calculus generalizing the \Phi-calculus of Mazzeo and Melrose. Our starting point is the observation, going back to Melrose, that a stratified pseudomanifold can be `resolved' into a manifold with fibred corners. This allows us to define pseudodifferential operators as conormal distributions on… Expand

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