Nodal tangles connect any two toric moment maps on a closed symplectic four-manifold, and give an exact displacement-energy formula for many toric fibres plus a recipe for Lagrangian torus knots.
A counterexample to Lagrangian Poincar\'e recurrence
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abstract
We provide a counterexample to the Lagrangian Poincar\'e recurrence conjecture of Ginzburg and Viterbo in all dimensions $6$ and greater.
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Nodal Tangles
Nodal tangles connect any two toric moment maps on a closed symplectic four-manifold, and give an exact displacement-energy formula for many toric fibres plus a recipe for Lagrangian torus knots.