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math.GT2025
Surfaces and their Profile Curves
Joel Hass
This paper examines the relationship between the knotting of an embedded surface in and the knotting of its fold curves, formed by the singular set of projection to a plane.…
math.GT2025
Gordian Unlinks
José Ayala, Joel Hass
This paper gives the first examples of gordian unlinks. The components of these unlinks cannot be separated while maintaining constant length and thickness. We construct infinite f…