47 citations · 84 across the 23 of their papers we have counts for
20 papers · 1 filter
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…
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…
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…
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…
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…
Ultraknots and limit knots
Benjamin Bode
We prove that every knot type in can be parametrised by a smooth function , such that all derivatives $f^{(n)}(t)=(x^{(…