55 citations · 339 across the 16 of their papers we have counts for
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math.GT2016★ 47 cited
Knotted fields and explicit fibrations for lemniscate knots
Benjamin Bode, Mark R Dennis, David Foster +1
We give an explicit construction of complex maps whose nodal line have the form of lemniscate knots. We review the properties of lemniscate knots, defined as closures of braids whe…
math-ph2016★ 55 cited
Weaving knotted vector fields with tunable helicity
Hridesh Kedia, David Foster, Mark R. Dennis +1
We present a general construction of divergence-free knotted vector fields from complex scalar fields, whose closed field lines encode many kinds of knots and links, including toru…
hep-th2016★ 5 cited
The decay of Hopf solitons in the Skyrme model
David Foster
It is understood that the Skyrme model has a topologically interesting baryonic excitation which can model nuclei. So far no stable knotted solutions, of the Skyrme model, have bee…