Single-colored ADO-3 invariant is a specialization of Links-Gould invariant for closures of 5-braids
Abstract
We prove that for knots and links that are closures of 5-braids, single-colored ADO-invariant of third order coincides with Links-Gould polynomial with specific choice of variables. We also conjecture that this is true for any knots and links and provide some arguments for that.
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