Minor theory for quasipositive surfaces

  • Sebastian Baader

    Universität Bern, Switzerland
  • Pierre Dehornoy

    Université Grenoble Alpes, France
  • Livio Liechti

    Université de Fribourg, Switzerland
Minor theory for quasipositive surfaces cover

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The set of quasipositive surfaces is closed under incompressible inclusion. We prove that the induced order on fibre surfaces of positive braid links is almost a well-quasi-order. When restricting to quasipositive surfaces containing a fixed root of a full twist, we get an actual well-quasi-order.