B. Bode

activity

20172020

most citedTwisting and satellite operations on P-fibered braids

2 citations · 2 across the 2 of their papers we have counts for

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5 papers · 1 filter

math.GT2020★ 2 cited

Twisting and satellite operations on P-fibered braids

Benjamin Bode

A geometric braid $B$ can be interpreted as a loop in the space of monic complex polynomials with distinct roots. This loop defines a function $g : C \times S^{1} \to C$ …

math.GT2020

Knotted surfaces as vanishing sets of polynomials

Benjamin Bode, Seiichi Kamada

We present an algorithm that takes as input any element $B$ of the loop braid group and constructs a polynomial $f : R^{5} \to R^{2}$ such that the intersection of the va…

math.GT2019

Quasipositive links and electromagnetism

Benjamin Bode

For every link $L$ we construct a complex algebraic plane curve that intersects $S^{3}$ transversally in a link $L ~$ that contains $L$ as a sublink. This construction proves t…

math.GT2019

Real algebraic links in $S^{3}$ and braid group actions on the set of $n$ -adic integers

Benjamin Bode

We construct an infinite tower of covering spaces over the configuration space of $n - 1$ distinct non-zero points in the complex plane. This results in an action of the braid group…

math.GT2017

Constructing links of isolated singularities of polynomials $R^{4} \to R^{2}$

Benjamin Bode

We show that if a braid $B$ can be parametrised in a certain way, then previous work can be extended to a construction of a polynomial $f : R^{4} \to R^{2}$ with the clos…

Twisting and satellite operations on P-fibered braids

Knotted surfaces as vanishing sets of polynomials

Quasipositive links and electromagnetism

Real algebraic links in S3 and braid group actions on the set of n-adic integers

Constructing links of isolated singularities of polynomials R4→R2

Real algebraic links in $S^{3}$ and braid group actions on the set of $n$ -adic integers

Constructing links of isolated singularities of polynomials $R^{4} \to R^{2}$