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math.GT2026
An Algorithmic Search for Knots Bounding Möbius Bands in
Daniel Lee, Joshua M. Sabloff
This study examines the smooth non-orientable -genus of knots using a large-scale computational search. Knot invariant obstructions were computed, and existing computational alg…
math.GT2026
A Refinement of the Spanning Surface Defect in and Dimensions
Julia Knihs, Jeanette Patel, Joshua M. Sabloff +1
The spanning surface defect uses spanning surfaces of a knot in the -sphere to measure how far a knot is from being alternating. We refine the spanning surface defect and extend…