Symplectic-quandle separation conjecture for Allen–Swenberg links

From papers

Let TT be a symplectic quandle, and let the Allen–Swenberg series be the infinite family of links considered in the source, with HH the connected sum of two Hopf links. The symplectic-quandle separation conjecture. There exists a symplectic quandle TT that distinguishes every link in the Allen–Swenberg series from HH and distinguishes the links in the series from one another using the enhanced quandle counting invariant. The source reports separation from HH and between the first two series links in specific finite fields, while separation of the entire series remains conjectural and is suggested as future work.

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Sources & referencesView supporting material

Primary source

Ayush Jain, “Detecting Causality with Symplectic Quandles”, arXiv:2310.06853 (2023).

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