Benjamin Bode

most citedConstructing a polynomial whose nodal set is any prescribed knot or link

5 citations · 5 across the 3 of their papers we have counts for

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math.GT2023

Saddle point braids of braided fibrations and pseudo-fibrations

Benjamin Bode, Mikami Hirasawa

Let $g_{t}$ be a loop in the space of monic complex polynomials in one variable of fixed degree $n$ . If the roots of $g_{t}$ are distinct for all $t$ , they form a braid $B_{1}$ on $n$ st…

math.GT2016★ 5 cited

Constructing a polynomial whose nodal set is any prescribed knot or link

Benjamin Bode, Mark R. Dennis

We describe an algorithm that for every given braid $B$ explicitly constructs a function $f : C^{2} \to C$ such that $f$ is a polynomial in $u$ , $v$ and $\ove…