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math.GT2021
Signature spectrum of positive braids
Sebastian Baader
We derive a lower bound for all Levine-Tristram signatures of positive braid links, linear in terms of the first Betti number. As a consequence, we obtain upper and lower bounds on…
math.GT2021
Minor theory for quasipositive surfaces
Sebastian Baader, Pierre Dehornoy, Livio Liechti
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.…