Obstructions to the Existence and Squeezing of Lagrangian Cobordisms

  title={Obstructions to the Existence and Squeezing of Lagrangian Cobordisms},
  author={JOSHUA M. SABLOFF and Lisa Traynor},
Capacities that provide both qualitative and quantitative obstructions to the existence of a Lagrangian cobordism between two (n− 1)-dimensional submanifolds in parallel hyperplanes of R are defined using the theory of generating families. Qualitatively, these capacities show that, for example, in R there is no Lagrangian cobordism between two ∞-shaped curves with a negative crossing when the lower end is “smaller”. Quantitatively, when the boundary of a Lagrangian ball lies in a hyperplane of… CONTINUE READING