Reduced universal character-ring conjecture for knot complements
Reduced universal character-ring conjecture for knot complements
For a knot , let be its complement and let denote the universal -character ring of , equivalently the skein module at under the stated identification. A ring is reduced when its nilradical is zero. Reduced universal character-ring conjecture. For every knot , the universal -character ring is reduced. If true, this would identify the universal character ring with the coordinate ring of the -character variety for every knot complement; the supplied context lists several classes where reducedness is already known, but gives no resolution in general.
Sources & referencesView supporting material
Primary source
Thang T. Q. Le and Anh T. Tran, “On the AJ conjecture for knots”, arXiv:1111.5258 (2014).
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