Hd. Doebner et W. Groth, QUANTUM BOREL KINEMATICS ON 3-DIMENSIONAL MANIFOLDS AND KNOT-GROUPS, Journal of physics. A, mathematical and general, 30(15), 1997, pp. 503-506
The quantizations of n identical or distinguishable particles, which a
re localized on closed orientable 3-manifolds, viewed as a three-fold
branched covering of S-3 with a matching knot chosen as branching set,
are classified up to unitary equivalence. The result connects the set
eta of non-equivalent quantizations to knot theory.