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math.GT2023
Pants distances of knotted surfaces in 4-manifolds
Román Aranda, Sarah Blackwell, Devashi Gulati +4
We define a pants distance for knotted surfaces in 4-manifolds, which generalizes the complexity studied by Blair-Campisi-Taylor-Tomova for surfaces in the 4-sphere. We determine t…
math.GT2023
Tri-plane diagrams for simple surfaces in
Wolfgang Allred, Manuel Aragón, Zack Dooley +8
Meier and Zupan proved that an orientable surface in admits a tri-plane diagram with zero crossings if and only if is unknotted, so that the cross…