On a generalized Jones conjecture
classification
🧮 math.GT
math.SG
keywords
knotconjecturegeneralizedjonesapplybraidcontactexponent
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We solve the Jones conjecture, which states that the exponent sum in a minimal braid representation of a knot in S^3 is a knot invariant, by proving a generalized version of the original one. We apply contact geometry to study this problem in knot theory.
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