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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
A bound on the number of twice-punctured tori in a knot exterior
Román Aranda, Enrique Ramírez-Losada, Jesús Rodríguez-Viorato
This paper continues a program due to Motegi regarding universal bounds for the number of non-isotopic essential -punctured tori in the complement of a hyperbolic knot in .…