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math.GT2020★ 2 cited
Twisting and satellite operations on P-fibered braids
Benjamin Bode
A geometric braid can be interpreted as a loop in the space of monic complex polynomials with distinct roots. This loop defines a function …
math.GT2020
Knotted surfaces as vanishing sets of polynomials
Benjamin Bode, Seiichi Kamada
We present an algorithm that takes as input any element of the loop braid group and constructs a polynomial such that the intersection of the va…