Trace-field symmetry conjecture for pretzel knots
Trace-field symmetry conjecture for pretzel knots
Let be an odd, negative integer, and let the trace field of a hyperbolic knot complement mean its invariant trace field. Trace-field symmetry conjecture. The and pretzel knots have the same trace field. This symmetry would reduce the study of the trace fields to negative odd ; the source presents it as a conjecture and uses it to motivate the subsequent arguments, while the supplied text does not establish its resolution.
Sources & referencesView supporting material
Primary source
Melissa L. Macasieb and Thomas W. Mattman, “Commensurability classes of (-2,3,n) pretzel knot complements”, arXiv:0804.0112 (2008).
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