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math.GT2024
Non-orientable 4-genus of torus knots
Megan Fairchild, Hailey Jay Garcia, Jake Murphy +1
The non-orientable 4-genus of a knot in , denoted , measures the minimum genus of a non-orientable surface in bounded by . We compute bounds for the n…
math.GT2024
Legendrian knots and multi-crossings
Amit Kumar, Jake Murphy, Brian Naff
It was shown in arXiv:1208.5742 that any smooth knot can be represented by an übercrossing projection, i.e. a knot projection with no crossings aside from a single multi-crossing.…