activity
20162026
most citedKnotted fields and explicit fibrations for lemniscate knots

47 citations · 84 across the 23 of their papers we have counts for

collaborators

24 papers

math.GT2026

On T-positive links

Benjamin Bode, Paula Truöl

T-positive links form a subset of strongly quasipositive links that strictly contains the set of all non-split braid positive links. Analogous to Baader's characterisation of posit…

math.GT2026

Essential tori associated with links of mixed singularities

Raimundo N. Araújo dos Santos, Benjamin Bode, Thiago de Paiva +1

We establish a direct connection between the analytic data of weakly isolated mixed singularities and the topology of their associated links. More precisely, we prove that the exis…

math.GT2025

Mutual arc presentations and braided open books

Benjamin Bode, Chun-Sheng Hsueh

We show that every canonically fibered link in is the binding of a braided open book in , addressing a question of Montesinos and Morton. We introduce mutual arc present…

cond-mat.soft2024★ 1 cited

Dislocations and Fibrations: The Topological Structure of Knotted Smectic Defects

Paul G. Severino, Randall D. Kamien, Benjamin Bode

In this work, we investigate the topological properties of knotted defects in smectic liquid crystals. Our story begins with screw dislocations, whose radial surface structure can…

math.GT2024

Totally tangential -links and electromagnetic knots

Benjamin Bode

The set of real-analytic Legendrian links with respect to the standard contact structure on the 3-sphere corresponds both to the set of totally tangential -links…

math.GT2024

Complex optical vortex knots

Benjamin Bode

The curves of zero intensity of a complex optical field can form knots and links: optical vortex knots. Both theoretical constructions and experiments have so far been restricted t…