Vanishing of the virtual Alexander polynomial for slice virtual knots
Vanishing of the virtual Alexander polynomial for slice virtual knots
From papers
Let be a virtual knot, and let denote its virtual Alexander polynomial.
Vanishing conjecture. If is slice, then
The polynomial was introduced as a slice obstruction, and it vanishes for all slice virtual knots currently known. Whether it vanishes for every slice virtual knot, and whether it is a concordance invariant, remains open.
Progress summary
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Sources & referencesView supporting material
Primary source
Hans U. Boden, Micah Chrisman and Robin Gaudreau, “Virtual knot cobordism and bounding the slice genus”, arXiv:1708.05982 (2017).
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