• Corpus ID: 235367693

Estimating Reeb chords using microlocal sheaf theory

  title={Estimating Reeb chords using microlocal sheaf theory},
  author={Wenyuan Li},
We show that for a closed Legendrian submanifold in a 1-jet bundle, if there is a sheaf with compact support, perfect stalk and singular support on that Legendrian, then (1) the number of Reeb chords has a lower bound by half of the sum of Betti numbers of the Legendrian; (2) the number of Reeb chords between the original Legendrian and its Hamiltonian pushoff has a lower bound in terms of Betti numbers when the oscillation norm of the Hamiltonian is small comparing with the length of Reeb… 

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