Braid loops with infinite monodromy on the Legendrian contact DGA

@article{Casals2022BraidLW,
  title={Braid loops with infinite monodromy on the Legendrian contact DGA},
  author={Roger Casals and Lenhard L. Ng},
  journal={Journal of Topology},
  year={2022}
}
We present the first examples of elements in the fundamental group of the space of Legendrian links in (S, ξst) whose action on the Legendrian contact DGA is of infinite order. This allows us to construct the first families of Legendrian links that can be shown to admit infinitely many Lagrangian fillings by Floer-theoretic techniques. These families include the first known Legendrian links with infinitely many fillings that are not rainbow closures of positive braids, and the smallest… 

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