Corpus ID: 237571973

Lagrangian Fillings in A-type and their Kalman Loop Orbits

  title={Lagrangian Fillings in A-type and their Kalman Loop Orbits},
  author={James Hughes},
  • J. Hughes
  • Published 20 September 2021
  • Mathematics
We continue the study of exact Lagrangian fillings of Legendrian (2, n) torus links, as first initiated by Ekholm-Honda-Kalman and Pan. Our main result proves that for a decomposable exact Lagrangian filling described through a pinching sequence, there exists a unique weave filling in the same Hamiltonian isotopy class. As an application of this result we describe the orbital structure of the Kalman loop and give a combinatorial criteria to determine the orbit size of a filling. We first give a… Expand


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