Symplectic-quandle separation conjecture for Allen–Swenberg links
Symplectic-quandle separation conjecture for Allen–Swenberg links
Let be a symplectic quandle, and let the Allen–Swenberg series be the infinite family of links considered in the source, with the connected sum of two Hopf links. The symplectic-quandle separation conjecture. There exists a symplectic quandle that distinguishes every link in the Allen–Swenberg series from and distinguishes the links in the series from one another using the enhanced quandle counting invariant. The source reports separation from 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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