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arXiv · 2610.18803

The Links--Gould polynomial of an alternating link is alternating

Matthew Harper·Ben-Michael Kohli
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Abstract

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 20-year-old conjecture of Ishii: for any alternating link, the Links--Gould invariant is an alternating polynomial.

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Matthew Harper, Ben-Michael Kohli. 2026-10-13. The Links--Gould polynomial of an alternating link is alternating. https://arxiv.org/abs/2610.18803

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