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math.GT2026
The Links--Gould polynomial of an alternating link is alternating
Matthew Harper, Ben-Michael Kohli
Building on work of Kauffman--Saleur and earlier work of the second author, we derive a determinant formula for the Links--Gould polynomial of links. As an application, we prove a…
math.GT2026
Detecting Causality with the Links--Gould Polynomial
Vladimir Chernov, Matthew Harper, Ben-Michael Kohli
The conjectures of Low and Natario--Tod, and Penrose's question on Arnold's Problem list ask if causality in spacetimes can be formulated in terms of linking of spheres of light ra…