3 papers
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…
math.SG2025
Weak Relative Calabi-Yau Structures for Legendrian Contact Homology
Jiajie Ma, Joshua M. Sabloff
Legendrian Contact Homology (LCH) and its augmentations are important invariants of Legendrian submanifolds, and for Legendrian knots in the standard contact 3-space in particular.…